Journal of Differential Equations

Article	Citations
Normalized ground states for the NLS equation with combined nonlinearities	147
Global asymptotic stability in an interactive wild and sterile mosquito model	79
A new class of double phase variable exponent problems: Existence and uniqueness	71
Global existence and blow up of solutions for pseudo-parabolic equation with singular potential	65
Far-field asymptotics for multiple-pole solitons in the large-order limit	59
Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold	57
The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system	56
Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model	56
Global existence for a kinetic model of pattern formation with density-suppressed motilities	53
Axially symmetric solutions for the planar Schrödinger-Poisson system with critical exponential growth	52
Global dynamics of a three-species spatial food chain model	50
Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations	50
An inverse problem for a semi-linear elliptic equation in Riemannian geometries	50
Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations	45
On the analyticity of the MGT-viscoelastic plate with heat conduction	44
Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis	43
Trajectory statistical solutions and Liouville type equations for evolution equations: Abstract results and applications	41
Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity	40
Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces	39
An existence result for singular Finsler double phase problems	39
Multiplicity-induced-dominancy for delay-differential equations of retarded type	39
Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition	39
Non-autonomous nonlocal partial differential equations with delay and memory	39
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations	38
Dynamic analysis of a plant-water model with spatial diffusion	38

Periodic measures of stochastic delay lattice systems	38
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction	37
Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions	37
On Lotka-Volterra competitive parabolic systems: Exclusion, coexistence and bistability	37
Ground states for planar Hamiltonian elliptic systems with critical exponential growth	36
Existence and asymptotic behavior of positive solutions for Kirchhoff type problems with steep potential well	35
On the modelling of large-scale atmospheric flow	35
The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case	35
A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization	34
Long-time asymptotic behavior for the complex short pulse equation	34
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations	33
Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations	33
Global behavior of a reaction-diffusion model with time delay and Dirichlet condition	33
Global analysis in Bazykin's model with Holling II functional response and predator competition	32
The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries	32
Existence and stability of periodic solutions in a mosquito population suppression model with time delay	30
Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations	30
Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition	30
Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source	30
On the planar Choquard equation with indefinite potential and critical exponential growth	30
Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time	30
A multiscale model for traffic regulation via autonomous vehicles	30
A predator-prey system with generalized Holling type IV functional response and Allee effects in prey	29
Permanence and extinction for the stochastic SIR epidemic model	28
Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility	28
Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation	28
Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems	28
Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling	27
Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation	27
Maximum principles and monotonicity of solutions for fractional p-equations in unbounded domains	27
The entry-exit theorem and relaxation oscillations in slow-fast planar systems	26
Spatial movement with diffusion and memory-based self-diffusion and cross-diffusion	26
Asymptotic stability in a fully parabolic quasilinear chemotaxis model with general logistic source and signal production	26
Random attractors for locally monotone stochastic partial differential equations	25
Soliton resolution for the short-pulse equation	25
Ill-posedness for the Camassa-Holm and related equations in Besov spaces	25
The dynamics of traveling waves for a nonlinear Belousov-Zhabotinskii system	25
Forced waves in a Lotka-Volterra competition-diffusion model with a shifting habitat	24
Normalized solutions to mass supercritical Schrödinger equations with negative potential	24
Averaging principle for fast-slow system driven by mixed fractional Brownian rough path	24
Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces	24
Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility	24
Differential inclusions in Wasserstein spaces: The Cauchy-Lipschitz framework	24
Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data	24
Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions	24
Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities	24
Random periodic processes, periodic measures and ergodicity	23
Global dynamics of a nonlocal periodic reaction-diffusion model of bluetongue disease	23
Singular solutions of a p-Laplace equation involving the gradient	23
Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications	22

Normalized concentrating solutions to nonlinear elliptic problems	22
Bifurcation methods of periodic orbits for piecewise smooth systems	22
On enhanced dissipation for the Boussinesq equations	22
Global solutions to a 3D chemotaxis-Stokes system with nonlinear cell diffusion and Robin signal boundary condition	22
Bound state nodal solutions for the non-autonomous Schrödinger–Poisson system in 22
Random recurrent neural networks with delays	22
Small linear perturbations of fractional Choquard equations with critical exponent	22
Hopf bifurcation in a reaction-diffusion-advection equation with nonlocal delay effect	22
Global well-posedness and uniform boundedness of urban crime models: One-dimensional case	22
Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation	21
Painlevé-type asymptotics of an extended modified KdV equation in transition regions	21
Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces	21
Instability of H1-stable peakons in the Camassa–Holm equation	21
Boundedness of weak solutions of a chemotaxis-Stokes system with slow p-Laplacian diffusion	21
Well-posedness for the Brinkman–Cahn–Hilliard system with unmatched viscosities	20
Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux	20
Singular perturbations of the Holling I predator-prey system with a focus	20
Global well-posedness of logarithmic Keller-Segel type systems	20
A nonsmooth maximum principle for a controlled nonconvex sweeping process	20
Complex dynamics in a delay differential equation with two delays in tick growth with diapause	20
Normalized solution to the Schrödinger equation with potential and general nonlinear term: Mass super-critical case	20
Persistence of species in a predator-prey system with climate change and either nonlocal or local dispersal	19
Long-time dynamics for a fractional piezoelectric system with magnetic effects and Fourier's law	19
Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity	19
Stokes and Navier-Stokes equations with Navier boundary conditions	19
On oscillatory solutions to the complete Euler system	19
Existence, uniqueness and approximate controllability of abstract differential equations with state-dependent delay	19
Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions	19
Double phase Dirichlet problems with unilateral constraints	19
Harnack inequality, heat kernel bounds and eigenvalue estimates under integral Ricci curvature bounds	18
Symmetry-breaking bifurcation for a free-boundary tumor model with time delay	18
Optimal attractors of the Kirchhoff wave model with structural nonlinear damping	18
The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth	18
Positive periodic solutions to an indefinite Minkowski-curvature equation	18
Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift	18
On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity	18
On the effect of lowering population's movement to control the spread of an infectious disease	18
Polynomial stability of the Rao-Nakra beam with a single internal viscous damping	18
On well-posed isoperimetric-type constrained variational control problems	18
Spatial dynamics of a dengue transmission model in time-space periodic environment	18
Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach	17
Unlimited growth in logarithmic Keller-Segel systems	17
Global boundedness and large time behavior of a chemotaxis system with indirect signal absorption	17
Bifurcation analysis in a diffusive predator-prey model with spatial memory of prey, Allee effect and maturation delay of predator	17
Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space	17
Nonlinear age-structured population models with nonlocal diffusion and nonlocal boundary conditions	17
Asymptotic stability in a quasilinear chemotaxis-haptotaxis model with general logistic source and nonlinear signal production	17
Stochastic Camassa-Holm equation with convection type noise	17
Global dynamics of a Lotka-Volterra competition-diffusion system in advective homogeneous environments	17
Normalized solutions for the fractional NLS with mass supercritical nonlinearity	17
Strong convergence rates in averaging principle for slow-fast McKean-Vlasov SPDEs	16
Local well-posedness for the Hall-MHD system in optimal Sobolev spaces	16
Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma	16
Spreading speed for some cooperative systems with nonlocal diffusion and free boundaries, part 1: Semi-wave and a threshold condition	16
Asymptotics for the Sasa–Satsuma equation in terms of a modified Painlevé II transcendent	16
Symmetry and monotonicity of singular solutions of double phase problems	16
On the propagation of regularity for solutions of the fractional Korteweg-de Vries equation	16
Existence of solutions for a class of fractional elliptic problems on exterior domains	16
Bismut formula for Lions derivative of distribution-path dependent SDEs	16
Lower bounds for the local cyclicity for families of centers	16
Integrability and linearizability of cubic Z2 systems with non-resonant singular points	16
Inverse problems for elliptic equations with fractional power type nonlinearities	15
Synchronization of Kuramoto oscillators with time-delayed interactions and phase lag effect	15
Asymptotic propagations of asymptotical monostable type equations with shifting habitats	15
Mean-field and graph limits for collective dynamics models with time-varying weights	15
Global boundedness of weak solutions for a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and rotation	15
Existence and asymptotic behavior of ground state solutions for Schrödinger equations with Hardy potential and Berestycki-Lions type conditions	15
Positive maximal and minimal solutions for non-homogeneous elliptic equations depending on the gradient	15
Basic reproduction ratios for almost periodic compartmental models with time delay	15
Further results on generalized Holmgren's principle to the Lamé operator and applications	15
Multi-bump solutions for the nonlinear magnetic Choquard equation with deepening potential well	15
An averaging principle for two-time-scale stochastic functional differential equations	15
On well-posedness for the inhomogeneous nonlinear Schrödinger equation in the critical case	15
Inverse problems for heat equation and space–time fractional diffusion equation with one measurement	15
Multitype bistability and long transients in a delayed spruce budworm population model	15
Boundary pointwise C1, and C2, regularity for fully nonlinear elliptic equations	15
Global bounded weak solutions for a chemotaxis-Stokes system with nonlinear diffusion and rotation	15
Entire solutions of diffusive Lotka-Volterra system	15
Backward doubly stochastic Volterra integral equations and their applications	15
Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities	15

Bifurcations in Holling-Tanner model with generalist predator and prey refuge	15
Geometric singular perturbation analysis to Camassa-Holm Kuramoto-Sivashinsky equation	14
Global well-posedness for the Hall-magnetohydrodynamics system in larger critical Besov spaces	14
Normal form formulations of double-Hopf bifurcation for partial functional differential equations with nonlocal effect	14
Solvability in the sense of sequences for some fourth order non-Fredholm operators	14
Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy	14
Hopf–Zero bifurcation in an age-dependent predator–prey system with Monod–Haldane functional response comprising strong Allee effect	14
Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces	14
Spreading dynamics of a Lotka-Volterra competition model in periodic habitats	14
Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions	14
Analysis of a reaction-diffusion benthic-drift model with strong Allee effect growth	14
Strong solutions of the equations for viscoelastic fluids in some classes of large data	14
Optimal control strategies for the sterile mosquitoes technique	14
Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve	14
New wave-breaking criteria for the Fornberg-Whitham equation	14
Well posedness of the nonlinear Schrödinger equation with isolated singularities	14
Stability and optimal decay for the 3D Navier-Stokes equations with horizontal dissipation	14
Smoothing and stabilization effects of magnetic field on electrically conducting fluids	14
Impulsive control of nonlocal transport equations	14
On self-adjoint boundary conditions for singular Sturm–Liouville operators bounded from below	14
Steady hydrodynamic model of semiconductors with sonic boundary and transonic doping profile	14
A class large solution of the 3D Hall-magnetohydrodynamic equations	14
High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents	14
A geometric method for infinite-dimensional chaos: Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line	14
Low energy nodal solutions to the Yamabe equation	14
Bifurcations in a diffusive resource-consumer model with distributed memory	14
Wong-Zakai approximations and periodic solutions in distribution of dissipative stochastic differential equations	14
Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity	14
Boundedness in a chemotaxis-fluid system involving a saturated sensitivity and indirect signal production mechanism	14
Energy conservation for inhomogeneous incompressible and compressible Euler equations	13
A Zvonkin's transformation for stochastic differential equations with singular drift and applications	13
Stochastic functional Kolmogorov equations II: Extinction	13
Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion	13
Continuous dependence and estimates of eigenvalues for periodic generalized Camassa-Holm equations	13
Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space	13
An inverse boundary value problem for certain anisotropic quasilinear elliptic equations	13
Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations	13
Traveling wave solutions to the density-suppressed motility model	13
The Hunter–Saxton equation with noise	13
Hopf–Cole transformation via generalized Schrödinger bridge problem	13
Radon measure solutions for steady compressible Euler equations of hypersonic-limit conical flows and Newton's sine-squared law	13
A structure theorem for polyharmonic maps between Riemannian manifolds	13
Singularly perturbed boundary-focus bifurcations	13
Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms	13
Averaging principle for distribution dependent stochastic differential equations driven by fractional Brownian motion and standard Brownian motion	13
Generalized Huygens' principle for bipolar non-isentropic compressible Navier-Stokes-Poisson system in dimension three	13
Another look at planar Schrödinger-Newton systems	13
Existence, exponential mixing and convergence of periodic measures of fractional stochastic delay reaction-diffusion equations on 13
Global unique solvability of nonhomogeneous asymmetric fluids: A Lagrangian approach	13
Stacked invasion waves in a competition-diffusion model with three species	13
On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction	13
Global existence and boundedness of a forager-exploiter system with nonlinear diffusions	13
Averaging principle for slow-fast stochastic partial differential equations with Hölder continuous coefficients	13
Pathwise mild solutions for quasilinear stochastic partial differential equations	13
Limit models for thin heterogeneous structures with high contrast	13
Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions	13
A primal-dual dynamical approach to structured convex minimization problems	13
On self-similar solutions to the incompressible Euler equations	13
Schrödinger operators with Leray-Hardy potential singular on the boundary	13
Asymptotic behavior of the principal eigenvalue for cooperative periodic-parabolic systems and applications	12
Gromov-Hausdorff stability of global attractors of reaction diffusion equations under perturbations of the domain	12
Steady periodic waves and formal stability for fixed-depth rotational equatorial flows	12
The generalised principal eigenvalue of time-periodic nonlocal dispersal operators and applications	12
Global well-posedness of a Navier–Stokes–Cahn–Hilliard system with chemotaxis and singular potential in 2D	12
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion	12
A flow force reformulation for steady irrotational water waves	12
Blow-up for a damped p-Laplacian type wave equation with logarithmic nonlinearity	12
Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations	12
On inhibition of the Rayleigh–Taylor instability by a horizontal magnetic field in ideal MHD fluids with velocity damping	12
Well-posedness of the 3D stochastic primitive equations with multiplicative and transport noise	12
On the Dirichlet problem for general augmented Hessian equations	12
Bifurcations and pattern formation in a predator-prey model with memory-based diffusion	12
Short time solution to the master equation of a first order mean field game	12
Existence of a unique solution and invariant measures for the stochastic Landau–Lifshitz–Bloch equation	12
Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities	12
Existence, persistence, and continuation of solutions for a generalized 0-Holm-Staley equation	12
A short proof of Boundary Harnack Principle	12
Optimal decay rates of isentropic compressible Navier-Stokes equations with discontinuous initial data	12
Concentration of solutions for fractional double-phase problems: critical and supercritical cases	12
Standing waves on a flower graph	12
Generalized hyperbolicity and shadowing in L spaces	12
Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction	12
Blow-up for the pointwise NLS in dimension two: Absence of critical power	12
Asymptotic stability of the 2D Boussinesq equations without thermal conduction	12
Long-term behaviour in a parabolic–elliptic chemotaxis–consumption model	12
Flow underlying coupled surface and internal waves	12
Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type	12
Small data solutions for the Euler-Poisson-Darboux equation with a power nonlinearity	12
On the steady Navier–Stokes equations in 2D exterior domains	12
Fractional-feedback stabilization for a class of evolution systems	12
Operator estimates for homogenization of the Robin Laplacian in a perforated domain	12
Boundedness and asymptotic behavior in a Keller-Segel(-Navier)-Stokes system with indirect signal production	12
Global small analytic solutions of MHD boundary layer equations	12
Enhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimate	12
Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator	12