Journal of Differential Equations

Papers
(The median citation count of Journal of Differential Equations is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)
ArticleCitations
Singular solutions of complex vector fields on the Möbius band158
Unbounded solutions for asymmetric oscillations in the degenerate resonant case86
Asymptotic propagation of stochastic Fisher-KPP equation with Markovian switching78
Sturmian measures can be sublinearly approximated by periodic measures68
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system66
Vertical and horizontal square functions on a class of non-doubling manifolds62
Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity60
Nonlinear stability of multi-solitons for the Hirota equation60
Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat59
Miura transformations and large-time behaviors of the Hirota-Satsuma equation56
Uniqueness of cylindrically symmetric solutions for coupled Gross-Pitaevskii equations with totally degenerate potentials55
Weak Harnack inequality for a mixed local and nonlocal parabolic equation54
Positivity of temperature for some non-isothermal fluid models53
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator50
A generalized index theory for non-Hamiltonian system50
One-sided Hölder regularity of global weak solutions of negative order dispersive equations48
Partial functional differential equations and Conley index47
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group46
Editorial Board45
Editorial Board45
On the exponential stability of Beck's Problem on a star-shaped graph45
Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system42
On the weighted inertia-energy approach to forced wave equations41
Stability analysis of an overdetermined fourth order boundary value problem via an integral identity39
Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients38
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations36
Varifold solutions of the two-phase three-dimensional magnetohydrodynamic equations35
Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors35
Editorial Board34
Editorial Board33
Fine asymptotic expansion of the ODE's flow33
A new Chebyshev criterion and its application to planar differential systems33
Existence of standing pulse solutions to a skew-gradient system32
Global solvability for nonlinear wave equations with singular potential32
On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition32
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations32
Distribution of large value points via frequency and wellposedness of Navier-Stokes equations32
Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups. II32
Multiple symmetric periodic solutions of differential systems with distributed delay32
The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space31
Random dynamics of the stochastic Landau-Lifshitz-Bloch equation with colored noise in the real line31
Editorial Board30
L estimates for the Caffarelli-Silvestre extension operators29
Global dynamics of Kato's solutions for the 3D incompressible micropolar system29
Nonlinear Schrödinger equations with concave-convex nonlinearities27
Asymptotic behavior of the Kuramoto system with periodic natural frequency27
Existence of large amplitude irrotational equatorial waves with flow force function26
Zero-Mach limit of the compressible Navier-Stokes system on 2D exterior domains with non-slip boundary conditions for all time26
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel26
Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy26
One-phase free boundary solutions of finite Morse index26
The number of Kaplan-Yorke periodic solutions for delay differential equations26
Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity25
Homoclinic bifurcation near a loop tangent to an invariant straight line25
Wave breaking and global solutions of the weakly dissipative periodic Camassa-Holm type equation25
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations25
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions25
Large time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in bounded domain25
Spatial propagation phenomena for diffusive SIS epidemic models24
A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions24
Existence and stability of positive solutions in a parabolic problem with a nonlinear incoming flux on the boundary24
Dissipative solutions and Markov selection to the complete stochastic Euler system23
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching23
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice23
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols23
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games23
Bifurcations in the diffusive Bazykin model23
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation23
Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations23
Concentration phenomenon of single phytoplankton species with changing-sign advection term23
Stability of smooth periodic traveling waves in the Degasperis–Procesi equation23
Editorial Board22
Existence of smooth solutions for a class of Euclidean bosonic equations22
Global Sobolev regularity for nonvariational operators built with homogeneous Hörmander vector fields22
Existence of planar non-symmetric stationary flows with large flux in an exterior disk22
A new regularity criterion for the 2D non-resistive incompressible MHD equations22
The graph limit for a pairwise competition model21
A quasilinear chemotaxis-haptotaxis system: Existence and blow-up results21
The initial-boundary value problem for the nonlinear Schrödinger equation with the nonlinear Neumann boundary condition on the half-line21
Dynamics for a nonlocal logistic equation with a sedentary compartment and free boundary21
Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary20
Transmission problems for simply connected domains in the complex plane20
Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum20
Effect of advection on the predator-prey dynamics with a drift-feeding predator20
Asymptotic behavior for the fast diffusion equation with absorption and singularity20
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time20
Almost sure rates of mixing for partially hyperbolic attractors19
On the study of optimal control problems with irregular constraints19
From finite to continuous phenotypes in (visco-)elastic tissue growth models19
Curved fronts for a Belousov-Zhabotinskii system in exterior domains18
Optimal decay rates for the compressible Navier–Stokes equations with density–dependent viscosities18
Attractors for a Kirchhoff model with degenerate stiffness factor and nonlinear boundary conditions18
L2-Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations18
Optimal decay estimates for the radially symmetric compressible Navier-Stokes equations18
Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms18
Effective medium theory for Van-der-Waals heterostructures18
Wong-Zakai approximations and support theorem for reflected SDEs with path-dependent coefficients18
Editorial Board18
Global bifurcation of irrotational water waves using a flow force formulation17
Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on 17
A priori estimates for elliptic equations with gradient dependent term and zero order term17
On ergodic control problem for viscous Hamilton–Jacobi equations for weakly coupled elliptic systems17
On the L2 stability of shock waves for finite-entropy solutions of Burgers17
Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains17
Solving the axisymmetric Navier-Stokes equations in critical spaces (I): The case with small swirl component17
Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials17
H1+ estimates for the fully nonlinear parabolic thin obstacle problem16
Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity16
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients16
Nonsmooth regular perturbations of singularly perturbed problems16
Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups16
On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics16
A Liouville type theorem for a scaling invariant parabolic system with no gradient structure16
A new reformulation of the Muskat problem with surface tension16
Corrigendum to “Metastability of the Cahn–Hilliard equation in one space dimension” [J. Differ. Equ. 265 (4) (2018) 1528–1575]15
Qualitative properties for a system coupling scaled mean curvature flow and diffusion15
Dynamics of a wave equation with memory and Hardy type potentials15
L-estimates for parabolic equations in divergence form with a half-time derivative15
First-order perturbation for multi-parameter center families15
Fine phase mixtures in one-dimensional non-convex elastodynamics15
Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity15
The Poincaré maps of a slow-fast stochastic system15
Period estimates for autonomous evolution equations with Lipschitz nonlinearities15
The existence and nonlinear stability of stationary solutions to outflow problem for a reduced gravity two and a half layer model15
Energy formulae for fractional Schrödinger-Poisson system15
L -maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders15
Editorial Board15
Convergence to SPDEs for second order evolutionary equation with singular short–range correlated potential15
Three-spectra inverse problem for the perturbed Bessel operators15
The focusing NLS equation with step-like oscillating background: Asymptotics in a transition zone14
Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator14
End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces14
Singularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fields14
Boundedness in a quasilinear two-species chemotaxis system with nonlinear sensitivity and nonlinear signal secretion14
Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data14
Critical Schrödinger equations with Stein-Weiss convolution parts in R14
Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations14
Null-controllability for the beam equation with structural damping. Part 1. Distributed control14
Spatio-temporal dynamics of nonlocal dispersal systems in time-space periodic habitats14
Poisson stable solutions for stochastic PDEs driven by Lévy noise14
Traveling waves and their spectral instability in volume–filling chemotaxis model14
Pullback measure attractors for non-autonomous stochastic reaction-diffusion equations on thin domains14
Large time behavior for MHD micropolar fluids in R14
On Fila-King conjecture in dimension four14
Complex integrability and linearizability of cubic Z2-equivariant systems with two 1:q resonant singular points14
Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity14
Inhomogeneous wave equation with t-dependent singular coefficients14
Existence and stability of periodic solutions in a mosquito population suppression model with time delay14
Invariant measures of stochastic Maxwell equations and ergodic numerical approximations14
Path independence for the additive functionals of stochastic Volterra equations with singular kernels and Hölder continuous coefficients14
A strongly degenerate fully nonlinear mean field game with nonlocal diffusion14
The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines14
Singular backward stochastic Volterra integral equations in infinite dimensional spaces14
The field-road diffusion model: Fundamental solution and asymptotic behavior14
Bifurcation structure and stability of steady gravity water waves with constant vorticity14
Analytical study of a generalised Dirichlet–Neumann operator and application to three-dimensional water waves on Beltrami flows13
Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with 13
The Landau and non-cutoff Boltzmann equations in union of cubes13
Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation13
Born-Infeld problem with general nonlinearity13
3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell's equations with full energy13
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction13
Schrödinger equation on non-compact symmetric spaces13
Stability of single transition layer in mass-conserving reaction-diffusion systems with bistable nonlinearity13
Global well-posedness of the energy-critical stochastic nonlinear wave equations13
Quantitative estimates for Lévy driven SDEs with different drifts and applications13
Time-dependent incompressible viscous flows around a rigid body: Estimates of spatial decay independent of boundary conditions13
Dynamical and variational properties of the NLS-δs13
Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle13
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities13
Liouville type theorems for the generalized higher order Choquard-Pekar equation13
Nonlinear stochastic wave equation driven by rough noise13
Characterising blenders via covering relations and cone conditions13
Elliptic equations in RN13
Editorial Board13
Sturm–Liouville M-functions in terms of Green's functions13
Local existence of the outer parabolic stochastic Stefan problem on the sphere13
A justification on hydrodynamic limit for self-organized kinetic model with density-dependent parameters13
Rotation sets and rotational entropy for random dynamical systems on the torus13
Analysis of a radial free boundary tumor model with time-dependent absorption efficiency13
Editorial Board13
Localization in space and its application in the bounded solution of Cauchy problem to the parabolic-parabolic Keller-Segel system with logistic growth13
Bounded and periodic solutions of quasilinear parabolic equations in time-dependent domains12
Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers12
The spectrum for the p-Laplacian systems with rotating periodic boundary value conditions and applications12
Revisiting the number of zeros of Abelian integrals for perturbed pendulum equations12
Bloch spectra for high contrast elastic media12
Nonlocal elliptic problems with nonhomogeneous nonlinearities via nonlinear Rayleigh quotient in 12
Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence12
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity12
Hydrodynamic limit of Boltzmann equations for gas mixture12
Full asymptotic expansion of the permeability matrix of a dilute periodic porous medium12
Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation12
The double phase problems on lattice graphs12
Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth12
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction12
Fine profiles of positive solutions for some nonlocal dispersal equations12
Decay estimates of positive finite energy solutions to quasilinear and fully nonlinear systems in 12
Existence of solutions to a fully nonlinear free transmission problem12
Rigidity of Lyapunov exponents for geodesic flows12
A self-adjoint fractional Sturm-Liouville problem with the general fractional derivatives12
On limit measures and their supports for stochastic ordinary differential equations12
Strong solutions to a fourth order exponential PDE describing epitaxial growth12
Dynamics of the nonlocal KPP equation: Effects of a new free boundary condition12
Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids12
Invariant tori of rectilinear type in the spatial three-body problem11
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface11
Long-time existence for semilinear wave equations with the inverse-square potential11
Dynamic boundary flux-driven shallow waters: Insights from a dissipative-dispersive system11
Maslov-type (L,P)-index and subharmonic P-symmetric brake solutions for Hamiltonian systems11
A result of existence of global weak solutions of a viscous Saint-Venant-Exner model11
Partial regularity for degenerate systems of double phase type11
A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral11
Concentrating ground state for linearly coupled Schrödinger systems involving critical exponent cases11
Global bifurcation structure and some properties of steady periodic water waves with vorticity11
Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line11
Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion11
On a class of superlinear obstacle problems11
Weighted maximal regularity estimates of higher order elliptic systems on Lipschitz domains11
Quasilinear parabolic equations with superlinear nonlinearities in critical spaces11
On the Dirichlet problem for second order elliptic systems in the ball11
BV solutions to a hyperbolic system of balance laws with logistic growth11
Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions11
Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries11
Invariant manifolds of 3D piecewise vector fields11
Polynomial normal forms for ODEs near a center-saddle equilibrium point11
Traveling waves to a chemotaxis-growth model with Allee effect11
Editorial Board11
Singular degenerate SDEs: Well-posedness and exponential ergodicity11
On the asymptotic stability on the line of ground states of the pure power NLS with 0 ≤ 2 − p ≪ 111
Normalized solutions for nonlinear Schrödinger equations involving mass subcritical and supercritical exponents11
Sharp large time behaviour in N-dimensional reaction-diffusion equations of bistable type11
Global existence and estimates for Blackstock's model of thermoviscous flow with second sound phenomena11
Optimal decay of compressible Navier-Stokes equations with or without potential force11
Controllability of quasi-linear Hamiltonian Schrödinger equations on tori10
Biological populations as stationary distributions in the space of genotypes10
Propagation dynamics for a class of integro-difference equations in a shifting environment10
Vlasov equations on digraph measures10
Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem10
The MGT-Fourier model in the supercritical case10
Bifurcation tearing in a forced Duffing equation10
Classification of solitary wave solutions to Schrödinger equations with potentials10
Exponential decay of random correlations for random Anosov systems mixing on fibers10
Liouville theorem for Lane-Emden equation of Baouendi-Grushin operators10
Vanishing viscosity limit of compressible viscoelastic equations in half space10
Nonlinear wave interactions in geochemical modeling10
On sharp estimates for Schrödinger groups of fractional powers of nonnegative self-adjoint operators10
Editorial Board10
On the Korteweg-de Vries limit for the Boussinesq equation10
Existence of a periodic solution for superlinear second order ODEs10
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