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 2021-09-01 to 2025-09-01.)
ArticleCitations
Concentration phenomenon of single phytoplankton species with changing-sign advection term146
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Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups. II65
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On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition59
Positivity of temperature for some non-isothermal fluid models58
One-sided Hölder regularity of global weak solutions of negative order dispersive equations57
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group56
Vertical and horizontal square functions on a class of non-doubling manifolds54
Stability analysis of an overdetermined fourth order boundary value problem via an integral identity54
Multiple symmetric periodic solutions of differential systems with distributed delay51
On the exponential stability of Beck's Problem on a star-shaped graph48
Asymptotic behavior of the Kuramoto system with periodic natural frequency47
Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors47
Unbounded solutions for asymmetric oscillations in the degenerate resonant case46
Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations46
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations45
A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions45
Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity44
On the weighted inertia-energy approach to forced wave equations42
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice40
Sturmian measures can be sublinearly approximated by periodic measures40
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation36
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions36
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system35
Stochastic functional Kolmogorov equations II: Extinction34
A new Chebyshev criterion and its application to planar differential systems33
Uniqueness of cylindrically symmetric solutions for coupled Gross-Pitaevskii equations with totally degenerate potentials32
The number of Kaplan-Yorke periodic solutions for delay differential equations32
Zero-Mach limit of the compressible Navier-Stokes system on 2D exterior domains with non-slip boundary conditions for all time31
Large time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in bounded domain31
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols30
Varifold solutions of the two-phase three-dimensional magnetohydrodynamic equations30
Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients30
Existence of standing pulse solutions to a skew-gradient system30
One-phase free boundary solutions of finite Morse index30
Existence of large amplitude irrotational equatorial waves with flow force function29
L estimates for the Caffarelli-Silvestre extension operators29
A generalized index theory for non-Hamiltonian system29
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel28
Nonlinear stability of multi-solitons for the Hirota equation27
Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy27
Partial functional differential equations and Conley index27
Random dynamics of the stochastic Landau-Lifshitz-Bloch equation with colored noise in the real line27
Distribution of large value points via frequency and wellposedness of Navier-Stokes equations26
Global dynamics of Kato's solutions for the 3D incompressible micropolar system26
Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system26
Global solvability for nonlinear wave equations with singular potential26
Fine asymptotic expansion of the ODE's flow26
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations24
Existence of smooth solutions for a class of Euclidean bosonic equations24
Editorial Board24
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations24
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator24
Existence and stability of positive solutions in a parabolic problem with a nonlinear incoming flux on the boundary23
Weak Harnack inequality for a mixed local and nonlocal parabolic equation23
Wave breaking and global solutions of the weakly dissipative periodic Camassa-Holm type equation23
Miura transformations and large-time behaviors of the Hirota-Satsuma equation23
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games23
Bifurcations in the diffusive Bazykin model23
Nonlinear Schrödinger equations with concave-convex nonlinearities23
Dissipative solutions and Markov selection to the complete stochastic Euler system23
Stability of smooth periodic traveling waves in the Degasperis–Procesi equation23
Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat23
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching23
Homoclinic bifurcation near a loop tangent to an invariant straight line23
The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space23
Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity23
Spatial propagation phenomena for diffusive SIS epidemic models22
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Wong-Zakai approximations and support theorem for reflected SDEs with path-dependent coefficients21
A new regularity criterion for the 2D non-resistive incompressible MHD equations21
Global attractivity of delayed and nonlocal diffusive logistic models with variable coefficients21
Global Sobolev regularity for nonvariational operators built with homogeneous Hörmander vector fields21
Attractors for a Kirchhoff model with degenerate stiffness factor and nonlinear boundary conditions21
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The Poincaré maps of a slow-fast stochastic system20
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Boundedness in a quasilinear two-species chemotaxis system with nonlinear sensitivity and nonlinear signal secretion20
Effective medium theory for Van-der-Waals heterostructures20
Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on 20
Spatio-temporal dynamics of nonlocal dispersal systems in time-space periodic habitats19
Singular backward stochastic Volterra integral equations in infinite dimensional spaces19
Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity19
Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity19
Existence and stability of periodic solutions in a mosquito population suppression model with time delay19
L2-Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations19
Large time behavior for MHD micropolar fluids in R19
Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data19
Critical Schrödinger equations with Stein-Weiss convolution parts inR<19
Global bifurcation of irrotational water waves using a flow force formulation19
Nonsmooth regular perturbations of singularly perturbed problems19
Pullback measure attractors for non-autonomous stochastic reaction-diffusion equations on thin domains18
Poisson stable solutions for stochastic PDEs driven by Lévy noise18
Large friction limit of pressureless Euler equations with nonlocal forces18
The field-road diffusion model: Fundamental solution and asymptotic behavior18
Curved fronts for a Belousov-Zhabotinskii system in exterior domains18
On the study of optimal control problems with irregular constraints18
Corrigendum to “Metastability of the Cahn–Hilliard equation in one space dimension” [J. Differ. Equ. 265 (4) (2018) 1528–1575]17
Period estimates for autonomous evolution equations with Lipschitz nonlinearities17
Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity17
First-order perturbation for multi-parameter center families17
On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential17
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Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms17
The weak Smale horseshoe and mean hyperbolicity17
A priori estimates for elliptic equations with gradient dependent term and zero order term16
Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains16
Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups16
Qualitative properties for a system coupling scaled mean curvature flow and diffusion16
The existence and nonlinear stability of stationary solutions to outflow problem for a reduced gravity two and a half layer model16
Energy formulae for fractional Schrödinger-Poisson system16
Fine phase mixtures in one-dimensional non-convex elastodynamics16
Solving the axisymmetric Navier-Stokes equations in critical spaces (I): The case with small swirl component16
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 tension15
Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials15
Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator15
Almost sure rates of mixing for partially hyperbolic attractors15
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients15
Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations15
Bifurcation and multiplicity results for elliptic problems with subcritical nonlinearity on the boundary15
Asymptotic behavior for the fast diffusion equation with absorption and singularity15
H1+ estimates for the fully nonlinear parabolic thin obstacle problem15
The focusing NLS equation with step-like oscillating background: Asymptotics in a transition zone15
Dynamics for a nonlocal logistic equation with a sedentary compartment and free boundary15
On ergodic control problem for viscous Hamilton–Jacobi equations for weakly coupled elliptic systems15
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time15
Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum15
The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines14
Bifurcation structure and stability of steady gravity water waves with constant vorticity14
Inhomogeneous wave equation with t-dependent singular coefficients14
Existence of planar non-symmetric stationary flows with large flux in an exterior disk14
Three-spectra inverse problem for the perturbed Bessel operators14
From finite to continuous phenotypes in (visco-)elastic tissue growth models14
Transmission problems for simply connected domains in the complex plane14
Null-controllability for the beam equation with structural damping. Part 1. Distributed control14
Traveling waves and their spectral instability in volume–filling chemotaxis model14
The initial-boundary value problem for the nonlinear Schrödinger equation with the nonlinear Neumann boundary condition on the half-line14
A quasilinear chemotaxis-haptotaxis system: Existence and blow-up results14
On the L2 stability of shock waves for finite-entropy solutions of Burgers14
Complex integrability and linearizability of cubic Z2-equivariant systems with two 1:q resonant singular points14
L -maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders14
The graph limit for a pairwise competition model14
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction13
Bloch spectra for high contrast elastic media13
End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces13
Sturm–Liouville M-functions in terms of Green's functions13
Time-dependent incompressible viscous flows around a rigid body: Estimates of spatial decay independent of boundary conditions13
Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence13
Liouville type theorems for the generalized higher order Choquard-Pekar equation13
On Fila-King conjecture in dimension four13
Invariant measures of stochastic Maxwell equations and ergodic numerical approximations13
Singularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fields13
On the Dirichlet problem for second order elliptic systems in the ball13
Schrödinger equation on non-compact symmetric spaces13
The spectrum for the p-Laplacian systems with rotating periodic boundary value conditions and applications13
Dynamical and variational properties of the NLS-δs13
A justification on hydrodynamic limit for self-organized kinetic model with density-dependent parameters13
Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation13
A strongly degenerate fully nonlinear mean field game with nonlocal diffusion13
Path independence for the additive functionals of stochastic Volterra equations with singular kernels and Hölder continuous coefficients13
Strong solutions to a fourth order exponential PDE describing epitaxial growth13
Traveling waves to a chemotaxis-growth model with Allee effect13
Quantitative estimates for Lévy driven SDEs with different drifts and applications13
Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction13
Bounded and periodic solutions of quasilinear parabolic equations in time-dependent domains12
Analytical study of a generalised Dirichlet–Neumann operator and application to three-dimensional water waves on Beltrami flows12
Analysis of a radial free boundary tumor model with time-dependent absorption efficiency12
Full asymptotic expansion of the permeability matrix of a dilute periodic porous medium12
Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers12
Long-time existence for semilinear wave equations with the inverse-square potential12
Fine profiles of positive solutions for some nonlocal dispersal equations12
Nonlocal elliptic problems with nonhomogeneous nonlinearities via nonlinear Rayleigh quotient in 12
Editorial Board12
Nonlinear stochastic wave equation driven by rough noise12
Global well-posedness of the energy-critical stochastic nonlinear wave equations12
3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell's equations with full energy12
Revisiting the number of zeros of Abelian integrals for perturbed pendulum equations12
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Hydrodynamic limit of Boltzmann equations for gas mixture12
Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth12
Rotation sets and rotational entropy for random dynamical systems on the torus12
Rigidity of Lyapunov exponents for geodesic flows12
The Landau and non-cutoff Boltzmann equations in union of cubes12
Asymptotic analysis of transonic shocks in divergent nozzles with respect to the expanding angle12
Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation12
Local existence of the outer parabolic stochastic Stefan problem on the sphere12
Optimal singularities of initial data for solvability of the Hardy parabolic equation12
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Exponential decay of random correlations for random Anosov systems mixing on fibers11
BV solutions to a hyperbolic system of balance laws with logistic growth11
Hyperbolic systems of balance laws with stiff source11
Stability of minimising harmonic maps under W1, perturbations of boundary data: p ≥ 211
Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids11
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity11
Localization in space and its application in the bounded solution of Cauchy problem to the parabolic-parabolic Keller-Segel system with logistic growth11
Dynamics of the nonlocal KPP equation: Effects of a new free boundary condition11
A self-adjoint fractional Sturm-Liouville problem with the general fractional derivatives11
Stability of single transition layer in mass-conserving reaction-diffusion systems with bistable nonlinearity11
Harnack inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions11
Dynamic boundary flux-driven shallow waters: Insights from a dissipative-dispersive system11
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The acoustic limit from the Boltzmann equation with Fermi-Dirac statistics11
Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion11
Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation11
The double phase problems on lattice graphs11
Decay estimates of positive finite energy solutions to quasilinear and fully nonlinear systems in 11
Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with 11
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface11
Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line11
Editorial Board11
Global well-posedness of classical solution to the interactions between short-long waves with large initial data11
Asymptotic stability of rarefaction wave with non-slip boundary condition for radiative Euler flows11
Born-Infeld problem with general nonlinearity11
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities11
Existence of solutions to a fully nonlinear free transmission problem11
Characterising blenders via covering relations and cone conditions11
Elliptic equations in RN11
On limit measures and their supports for stochastic ordinary differential equations11
A result of existence of global weak solutions of a viscous Saint-Venant-Exner model10
Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries10
Normalized solutions for nonlinear Schrödinger equations involving mass subcritical and supercritical exponents10
Invariant tori of rectilinear type in the spatial three-body problem10
Nonlinear wave interactions in geochemical modeling10
Global existence and estimates for Blackstock's model of thermoviscous flow with second sound phenomena10
Construction of a two-phase flow with singular energy by gradient flow methods10
Polynomial normal forms for ODEs near a center-saddle equilibrium point10
Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem10
Liouville theorem for Lane-Emden equation of Baouendi-Grushin operators10
Invariant manifolds of 3D piecewise vector fields10
On critical dipoles in dimensions n ⩾ 310
Controllability of quasi-linear Hamiltonian Schrödinger equations on tori10
Normal forms of hyperbolic logarithmic transseries10
Optimal boundary regularity for viscosity solutions of fully nonlinear elliptic equations10
Weighted maximal regularity estimates of higher order elliptic systems on Lipschitz domains10
Bifurcation tearing in a forced Duffing equation10
Regularity criteria for weak solutions to the 3d co-rotational Beris-Edwards system via the pressure10
Partial regularity for degenerate systems of double phase type10
On the Korteweg-de Vries limit for the Boussinesq equation10
The MGT-Fourier model in the supercritical case10
Global bifurcation structure and some properties of steady periodic water waves with vorticity10
Propagation dynamics for a class of integro-difference equations in a shifting environment10
Sharp large time behaviour in N-dimensional reaction-diffusion equations of bistable type10
Biological populations as stationary distributions in the space of genotypes10
On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets10
On a class of superlinear obstacle problems10
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