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 2022-01-01 to 2026-01-01.)
ArticleCitations
Singular solutions of complex vector fields on the Möbius band169
Unbounded solutions for asymmetric oscillations in the degenerate resonant case78
Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations68
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols68
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games64
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations62
Global solvability for nonlinear wave equations with singular potential62
Sturmian measures can be sublinearly approximated by periodic measures61
Vertical and horizontal square functions on a class of non-doubling manifolds60
Positivity of temperature for some non-isothermal fluid models57
Uniqueness of cylindrically symmetric solutions for coupled Gross-Pitaevskii equations with totally degenerate potentials57
A generalized index theory for non-Hamiltonian system52
One-sided Hölder regularity of global weak solutions of negative order dispersive equations50
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group48
Editorial Board47
Editorial Board46
Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors45
Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system45
Editorial Board44
Editorial Board43
Fine asymptotic expansion of the ODE's flow38
Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups. II37
The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space37
Editorial Board37
Global dynamics of Kato's solutions for the 3D incompressible micropolar system36
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice35
Distribution of large value points via frequency and wellposedness of Navier-Stokes equations35
Existence of smooth solutions for a class of Euclidean bosonic equations35
Asymptotic behavior of the Kuramoto system with periodic natural frequency35
Random dynamics of the stochastic Landau-Lifshitz-Bloch equation with colored noise in the real line35
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel33
Zero-Mach limit of the compressible Navier-Stokes system on 2D exterior domains with non-slip boundary conditions for all time33
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions32
Existence of large amplitude irrotational equatorial waves with flow force function32
One-phase free boundary solutions of finite Morse index32
Wave breaking and global solutions of the weakly dissipative periodic Camassa-Holm type equation31
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations30
Linear asymptotic stability for the Couette flow in stratified fluid with high Richardson's number30
The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus29
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations29
Editorial Board29
On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition29
Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity28
Dissipative solutions and Markov selection to the complete stochastic Euler system28
Nonlinear Schrödinger equations with concave-convex nonlinearities28
L estimates for the Caffarelli-Silvestre extension operators27
Existence and nonexistence of stable patterns in semilinear nonlocal diffusion equations27
Asymptotic propagation of stochastic Fisher-KPP equation with Markovian switching27
Spatial propagation phenomena for diffusive SIS epidemic models27
Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity26
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator26
Nonlinear stability of multi-solitons for the Hirota equation26
On the exponential stability of Beck's Problem on a star-shaped graph26
Multiple symmetric periodic solutions of differential systems with distributed delay25
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system25
Stability of smooth periodic traveling waves in the Degasperis–Procesi equation25
Concentration phenomenon of single phytoplankton species with changing-sign advection term25
A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions24
Weak Harnack inequality for a mixed local and nonlocal parabolic equation24
Wave equation with nonlinear damping and super-cubic nonlinearity24
On the weighted inertia-energy approach to forced wave equations24
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation23
The number of Kaplan-Yorke periodic solutions for delay differential equations23
Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy23
Varifold solutions of the two-phase three-dimensional magnetohydrodynamic equations23
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching22
Miura transformations and large-time behaviors of the Hirota-Satsuma equation22
Partial functional differential equations and Conley index22
Homoclinic bifurcation near a loop tangent to an invariant straight line22
A new Chebyshev criterion and its application to planar differential systems22
Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients22
Existence and stability of positive solutions in a parabolic problem with a nonlinear incoming flux on the boundary21
Existence of planar non-symmetric stationary flows with large flux in an exterior disk21
Global Sobolev regularity for nonvariational operators built with homogeneous Hörmander vector fields21
Editorial Board21
Bifurcations in the diffusive Bazykin model21
Large time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in bounded domain21
Dynamics for a nonlocal logistic equation with a sedentary compartment and free boundary20
A quasilinear chemotaxis-haptotaxis system: Existence and blow-up results20
The graph limit for a pairwise competition model20
Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum19
From finite to continuous phenotypes in (visco-)elastic tissue growth models19
Asymptotic behavior for the fast diffusion equation with absorption and singularity19
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time19
Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary19
Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data19
Null-controllability for the beam equation with structural damping. Part 1. Distributed control18
Inhomogeneous wave equation with t-dependent singular coefficients18
Optimal decay rates for the compressible Navier–Stokes equations with density–dependent viscosities18
Existence and stability of periodic solutions in a mosquito population suppression model with time delay18
The focusing NLS equation with step-like oscillating background: Asymptotics in a transition zone18
Effective medium theory for Van-der-Waals heterostructures18
Curved fronts for a Belousov-Zhabotinskii system in exterior domains18
The field-road diffusion model: Fundamental solution and asymptotic behavior18
L2-Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations17
Wong-Zakai approximations and support theorem for reflected SDEs with path-dependent coefficients17
Almost sure rates of mixing for partially hyperbolic attractors17
Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations17
Optimal decay estimates for the radially symmetric compressible Navier-Stokes equations17
On the study of optimal control problems with irregular constraints17
Spatio-temporal dynamics of nonlocal dispersal systems in time-space periodic habitats17
Editorial Board17
Dynamics of a wave equation with memory and Hardy type potentials17
Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity16
H1+ estimates for the fully nonlinear parabolic thin obstacle problem16
Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on 16
Bifurcation structure and stability of steady gravity water waves with constant vorticity16
Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains16
A Liouville type theorem for a scaling invariant parabolic system with no gradient structure16
A new reformulation of the Muskat problem with surface tension16
Singular backward stochastic Volterra integral equations in infinite dimensional spaces16
Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity16
On ergodic control problem for viscous Hamilton–Jacobi equations for weakly coupled elliptic systems16
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients16
L -maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders16
Critical Schrödinger equations with Stein-Weiss convolution parts in R16
Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms16
On M-dynamics and Li-Yorke chaos of extensions of minimal dynamics16
Editorial Board15
Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity15
First-order perturbation for multi-parameter center families15
L-estimates for parabolic equations in divergence form with a half-time derivative15
Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator15
Energy formulae for fractional Schrödinger-Poisson system15
The Poincaré maps of a slow-fast stochastic system15
Qualitative properties for a system coupling scaled mean curvature flow and diffusion15
The existence and nonlinear stability of stationary solutions to outflow problem for a reduced gravity two and a half layer model15
Boundedness in a quasilinear two-species chemotaxis system with nonlinear sensitivity and nonlinear signal secretion15
Corrigendum to “Metastability of the Cahn–Hilliard equation in one space dimension” [J. Differ. Equ. 265 (4) (2018) 1528–1575]15
Fine phase mixtures in one-dimensional non-convex elastodynamics15
Convergence to SPDEs for second order evolutionary equation with singular short–range correlated potential15
Three-spectra inverse problem for the perturbed Bessel operators15
Period estimates for autonomous evolution equations with Lipschitz nonlinearities15
A strongly degenerate fully nonlinear mean field game with nonlocal diffusion14
On Fila-King conjecture in dimension four14
Transmission problems for simply connected domains in the complex plane14
Effect of advection on the predator-prey dynamics with a drift-feeding predator14
Large time behavior for MHD micropolar fluids in R14
Solving the axisymmetric Navier-Stokes equations in critical spaces (I): The case with small swirl component14
Traveling waves and their spectral instability in volume–filling chemotaxis model14
Invariant measures of stochastic Maxwell equations and ergodic numerical approximations14
Quantitative estimates for Lévy driven SDEs with different drifts and applications14
The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines14
Poisson stable solutions for stochastic PDEs driven by Lévy noise14
Global existence for systems of 2-D wave equations with nonlinearity of the wave maps type in exterior domains14
Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials14
The Fujita critical exponent for one-dimensional semilinear heat equations with potentials and space-dependent nonlinearities14
Pullback measure attractors for non-autonomous stochastic reaction-diffusion equations on thin domains14
A new regularity criterion for the 2D non-resistive incompressible MHD equations14
End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces14
Attractors for a Kirchhoff model with degenerate stiffness factor and nonlinear boundary conditions14
Singularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fields14
On physically grounded boundary conditions for the compressible MHD system14
H2-regularity for stationary and non-stationary Bingham problems with perfect slip boundary condition14
Nonsmooth regular perturbations of singularly perturbed problems14
The initial-boundary value problem for the nonlinear Schrödinger equation with the nonlinear Neumann boundary condition on the half-line14
Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups14
Sturm–Liouville M-functions in terms of Green's functions14
Long-time existence for semilinear wave equations with the inverse-square potential13
Stability of single transition layer in mass-conserving reaction-diffusion systems with bistable nonlinearity13
Traveling waves to a chemotaxis-growth model with Allee effect13
Decay estimates of positive finite energy solutions to quasilinear and fully nonlinear systems in 13
Path independence for the additive functionals of stochastic Volterra equations with singular kernels and Hölder continuous coefficients13
Schrödinger equation on non-compact symmetric spaces13
Editorial Board13
Global well-posedness of the energy-critical stochastic nonlinear wave equations13
Local existence of the outer parabolic stochastic Stefan problem on the sphere13
On limit measures and their supports for stochastic ordinary differential equations13
Rigidity of Lyapunov exponents for geodesic flows13
Dynamics of the nonlocal KPP equation: Effects of a new free boundary condition13
The Landau and non-cutoff Boltzmann equations in union of cubes13
Liouville type theorems for the generalized higher order Choquard-Pekar equation13
Bounded and periodic solutions of quasilinear parabolic equations in time-dependent domains13
Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle13
Editorial Board13
Born-Infeld problem with general nonlinearity13
Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with 13
Dynamics of wavefronts to a coarse-grained model with volume-filling cell invasion13
Revisiting the number of zeros of Abelian integrals for perturbed pendulum equations13
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction13
A justification on hydrodynamic limit for self-organized kinetic model with density-dependent parameters13
Hydrodynamic limit of Boltzmann equations for gas mixture13
Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers13
Time-dependent incompressible viscous flows around a rigid body: Estimates of spatial decay independent of boundary conditions13
Characterising blenders via covering relations and cone conditions13
Dynamical and variational properties of the NLS-δs13
Full asymptotic expansion of the permeability matrix of a dilute periodic porous medium13
Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion12
Fine profiles of positive solutions for some nonlocal dispersal equations12
On the Dirichlet problem for second order elliptic systems in the ball12
Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence12
Analysis of a radial free boundary tumor model with time-dependent absorption efficiency12
Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation12
Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation12
Existence of solutions to a fully nonlinear free transmission problem12
Strong solutions to a fourth order exponential PDE describing epitaxial growth12
Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids12
A compactness condition for the theorem of sums in a class of non-uniformly elliptic PDEs12
Conformally weighted Einstein manifolds: The uniqueness problem12
The double phase problems on lattice graphs12
A self-adjoint fractional Sturm-Liouville problem with the general fractional derivatives12
On solutions to the 3D generalized MHD equations with nonlinear damping terms12
The second Dirichlet eigenvalue is simple on every non-equilateral triangle, Part I: Nearly degenerate triangles12
Editorial Board12
Localization in space and its application in the bounded solution of Cauchy problem to the parabolic-parabolic Keller-Segel system with logistic growth12
Analytical study of a generalised Dirichlet–Neumann operator and application to three-dimensional water waves on Beltrami flows12
Rotation sets and rotational entropy for random dynamical systems on the torus12
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction12
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities12
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface12
The spectrum for the p-Laplacian systems with rotating periodic boundary value conditions and applications12
Hölder regularity for nonlocal in time subdiffusion equations with general kernel12
Bloch spectra for high contrast elastic media12
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity12
Singular degenerate SDEs: Well-posedness and exponential ergodicity11
On a class of superlinear obstacle problems11
3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell's equations with full energy11
A result of existence of global weak solutions of a viscous Saint-Venant-Exner model11
Invariant tori of rectilinear type in the spatial three-body problem11
Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries11
Global existence and estimates for Blackstock's model of thermoviscous flow with second sound phenomena11
Conditional uniqueness of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit11
On the asymptotic stability on the line of ground states of the pure power NLS with 0 ≤ 2 − p ≪ 111
Dynamic boundary flux-driven shallow waters: Insights from a dissipative-dispersive system11
Nonlocal elliptic problems with nonhomogeneous nonlinearities via nonlinear Rayleigh quotient in 11
Elliptic equations in 11
Normalized solutions for nonlinear Schrödinger equations involving mass subcritical and supercritical exponents11
Normal forms of hyperbolic logarithmic transseries11
Sharp large time behaviour in N-dimensional reaction-diffusion equations of bistable type11
Existence and dynamics of normalized solutions to Schrödinger equations with generic double-behaviour nonlinearities11
Controllability of quasi-linear Hamiltonian Schrödinger equations on tori11
Weighted maximal regularity estimates of higher order elliptic systems on Lipschitz domains11
Maslov-type (L,P)-index and subharmonic P-symmetric brake solutions for Hamiltonian systems11
Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth11
Nonlinear stochastic wave equation driven by rough noise11
Editorial Board11
Exponential stabilization on infinite dimensional system with impulse controls11
A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral11
Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions11
On the positive periodic solutions of a class of Liénard equations with repulsive singularities in degenerate case11
Polynomial normal forms for ODEs near a center-saddle equilibrium point11
Optimal decay of compressible Navier-Stokes equations with or without potential force10
Partial regularity for degenerate systems of double phase type10
An application of Sobolev's inequality to one-dimensional Kirchhoff equations10
Propagation dynamics of cooperative reaction-diffusion systems in a periodic shifting environment10
Propagation dynamics for a class of integro-difference equations in a shifting environment10
Energy conservation law for weak solutions of the full compressible Navier-Stokes equations10
Pattern formations in nonlinear reaction-diffusion systems with strong localized impurities10
Regularity criteria for weak solutions to the 3d co-rotational Beris-Edwards system via the pressure10
Existence of a periodic solution for superlinear second order ODEs10
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