Journal of Differential Equations

Papers
(The TQCC of Journal of Differential Equations is 4. 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 2021-03-01 to 2025-03-01.)
ArticleCitations
W1,1 stability for the LSI101
Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger equations with sub-cubic nonlinearity75
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols73
Liouville comparison theory for breakdown of Euler-Arnold equations59
Coexistence of heterogeneous predator-prey systems with prey-dependent dispersal55
On fractional and nonlocal parabolic mean field games in the whole space50
Editorial Board49
Spatial dynamics of a generalized cholera model with nonlocal time delay in a heterogeneous environment49
An application of moment method to uniform boundary controllability property of a semidiscrete 1-d wave equation with a lower rate vanishing viscosity47
Linear stability analysis for a free boundary problem modeling tumor growth in the presence of high-molecular mass drugs45
Existence and nonlinear stability of steady-states to outflow problem for the full two-phase flow45
Editorial Board44
On weak solutions to the compressible inviscid two-fluid model44
New wave breaking for the Camassa-Holm equation44
Dynamical properties in the axiomatic theory of ordinary differential equations44
Gilbarg-Serrin equation and Lipschitz regularity44
Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations43
On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces43
A constrained minimization problem related to two coupled pseudo-relativistic Hartree equations42
Harnack inequality and interior regularity for Markov processes with degenerate jump kernels42
Pursuit-evasion dynamics for Bazykin-type predator-prey model with indirect predator taxis42
Localization for general Helmholtz40
On the unique solvability of radiative transfer equations with polarization39
Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity38
Geometric analysis of nonlinear differential-algebraic equations via nonlinear control theory37
The α-dependence of the invariant measure of stochastic real Ginzburg-Landau equation driven by α-stable Lévy processes36
The Stokes operator on manifolds with cylindrical ends35
On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with degenerate heat conductivity35
Stabilization in a chemotaxis-consumption model involving Robin-type boundary conditions35
Determining coefficients for a fractional p-Laplace equation from exterior measurements34
Existence of a traveling wave solution in a free interface problem with fractional order kinetics34
An Alexandrov-Bakelman-Pucci estimate for an anisotropic Laplacian with positive drift in unbounded domains33
Higher-order asymptotic expansion for abstract linear second-order differential equations with time-dependent coefficients32
Concentration phenomena of solutions for critical perturbed Hénon problems32
The one-dimensional stochastic Keller–Segel model with time-homogeneous spatial Wiener processes31
A necessary and sufficient condition on algebraic limit cycles of a hybrid van der Pol-Rayleigh oscillator29
Well-posedness and attractors for a 2D Boussinesq system with partial dissipation28
On the asymptotic behavior of solutions to a structural acoustics model28
Long time well-posedness and full justification of a Whitham-Green-Naghdi system28
Concentration phenomenon of single phytoplankton species with changing-sign advection term28
Stability for degenerate wave equations with drift under simultaneous degenerate damping27
Nonlocal planar Schrödinger-Poisson systems in the fractional Sobolev limiting case27
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system26
On principal eigenvalues of measure differential equations and a patchy Neumann eigenvalue problem25
A free boundary problem for an elliptic system25
Recursiveness on impulsive dynamical systems: Minimality, non-wandering points, the center of Birkhoff and attractors23
Wasserstein convergence rate of invariant measures for stochastic Schrödinger delay lattice systems23
Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates23
A localized criterion for the regularity of solutions to Navier-Stokes equations22
Transonic shock solutions of the steady Euler flow in quasi-one-dimensional convergent nozzles22
Nonlinear Schrödinger equations with concave-convex nonlinearities21
Positivity of temperature for some non-isothermal fluid models21
Persistence of periodic traveling waves and Abelian integrals21
Traveling waves and their spectral stability in Keller–Segel system with large cell diffusion21
New lower bounds of the number of critical periods in reversible centers21
Determining functionals and finite-dimensional reduction for dissipative PDEs revisited20
Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities20
Averaging principle for fast-slow system driven by mixed fractional Brownian rough path20
Nonlinear stability of multi-solitons for the Hirota equation20
Families of periodic orbits: Closed 1-forms and global continuability20
Well-posedness of logarithmic spiral vortex sheets20
Static and evolution equations with degenerate curls20
A 1-Laplacian equation with critical and discontinuous nonlinearities19
Local well-posedness of unsteady potential flows near a space corner of right angle19
Global analyticity and the lower bounds of analytic radius for the Chaplygin gas equations with source terms19
Long time behavior of a parabolic p-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon19
Stability analysis of an overdetermined fourth order boundary value problem via an integral identity19
The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space19
Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry19
General class of optimal Sobolev inequalities and nonlinear scalar field equations19
Regular Lagrangian flow for wavelike vector fields and the Vlasov-Maxwell system18
Diagonalization in a quantum kicked rotor model with non-analytic potential18
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games18
Corrigendum to “Poincaré inequalities and Newtonian Sobolev functions on noncomplete metric spaces” [J. Differ. Equ. 266 (2019) 44–69]18
Sharp decay rates of degenerate hyperbolic-parabolic coupled system: Rectangular domain vs one-dimensional domain18
Traveling wave phenomena of inhomogeneous half-wave equation18
Vanishing capillarity limit of a generic compressible two–fluid model with common pressure18
Interior and boundary regularity criteria for the 6D steady Navier-Stokes equations18
Vertical and horizontal square functions on a class of non-doubling manifolds18
A nonlinear semigroup approach to Hamilton-Jacobi equations–revisited17
Global strong solutions and large time behavior to a micro-macro model for compressible polymeric fluids near equilibrium17
On the quantum Boltzmann equation near Maxwellian and vacuum17
Stable solution of the Logarithmic Minkowski problem in the case of hyperplane symmetries17
The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case17
Compactness of Green operators with applications to semilinear nonlocal elliptic equations17
On the dynamics of thin layers of viscous flows inside another viscous fluid17
Unique continuation and inverse problem for an anisotropic beam bending equation16
Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source16
Non-degeneracy and existence of new solutions for the Schrödinger equations16
Asymptotic behavior of solutions of initial-boundary value problems for 1D viscous and heat-conducting ionized gas16
Sharp life span of semilinear heat equations with large and small scaled inner and initial sources16
Inviscid limit of compressible viscoelastic equations with the no-slip boundary condition16
Existence and nonexistence of solutions to a critical biharmonic equation with logarithmic perturbation16
Optimal L2-decay of solutions to the dissipative nonlinear Schrödinger equation in higher space dimensions16
One-sided Hölder regularity of global weak solutions of negative order dispersive equations16
Optimal control problem for nonlinear optical communications systems16
Compound operators on vector spaces with applications to linear differential equations16
Long-time asymptotics of the Hunter-Saxton equation on the line16
Structures and evolution of bifurcation diagrams for a one-dimensional diffusive generalized logistic problem with constant yield harvesting. II. Convex-concave and convex-concave-convex nonlinearitie16
Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel15
Extinction of some strains and asymptotic profiles of coexistence endemic equilibria in a multi-strain epidemic model15
Concentration on the Clifford torus for the critical problem in an annulus15
Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity15
Parametrix problem for the Korteweg–de Vries equation with steplike initial data15
The extended second Painlevé hierarchy: Auto-Bäcklund transformations and special integrals15
Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems15
Sobolev space theory and Hölder estimates for the stochastic partial differential equations on conic and polygonal domains15
Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations15
Multiple symmetric periodic solutions of differential systems with distributed delay15
The optimal time-decay estimates for 2-D inhomogeneous Navier-Stokes equations15
Global existence and analyticity of L solutions to the compressible fluid model of Korteweg type15
Lyapunov center theorem on rotating periodic orbits for Hamiltonian systems15
On the asymptotic stability of N-soliton solution for the short pulse equation with weighted Sobolev initial data15
Global existence and stabilization in a two-dimensional chemotaxis-Navier-Stokes system with consumption and production of chemosignals15
A free boundary inviscid model of flow-structure interaction15
The regularity with respect to domains of the additive eigenvalues of superquadratic Hamilton–Jacobi equation15
Uniqueness, symmetry and convergence of positive ground state solutions of the Choquard type equation on a ball15
Large deviations for the two-time-scale stochastic convective Brinkman-Forchheimer equations15
A note on endpoint L-continuity of wave operators for classical and higher order Schrödinger operators14
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching14
From BGK-alignment model to the pressured Euler-alignment system with singular communication weights14
A class of three dimensional Cahn-Hilliard equation with nonlinear diffusion14
Asymptotic behavior in time of solution for the cubic nonlinear Schrödinger equation on the tadpole graph14
Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data14
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions14
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds I: Bakry-Émery curvature bounded below14
The heat flow in nonlinear Hodge theory under general growth14
Minimal non uniquely ergodic IETs with flips14
On the nonexistence of positive solution to Δu + au+1 = 0 on Riemannian manifolds14
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group14
Removable time-dependent singularities of solutions to the Stokes equations14
Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations14
Boundedness for the chemotaxis system with logistic growth14
Continuum-wise hyperbolicity14
The Trotter product formula for nonlinear Fokker–Planck flows14
Chemotaxis driven formation of time periodic pattern and steady state pattern14
Homogenization of boundary value problems in perforated Lipschitz domains14
Asymptotic behavior and monotonicity of radial eigenvalues for the p-Laplacian13
Wave breaking and global solutions of the weakly dissipative periodic Camassa-Holm type equation13
The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension13
Remarks on interior regularity criteria without pressure for the Navier-Stokes equations13
A new sufficient condition in order that the real Jacobian conjecture in 13
Hydrodynamic limit of the Maxwell-Schrödinger equations to the compressible Euler-Maxwell equations13
On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization13
On the exponential stability of Beck's Problem on a star-shaped graph13
Existence of steady very weak solutions to Navier-Stokes equations with non-Newtonian stress tensors13
Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with Ohmic contact boundary in hollow ball13
Derivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noise13
Global bifurcation of solitary waves to the Boussinesq abcd system13
The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation13
Unbounded solutions for asymmetric oscillations in the degenerate resonant case13
A local conditional variational principle of pressures and local conditional equilibrium states13
On uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delay13
A multi-scale Gaussian beam parametrix for the wave equation: The Dirichlet boundary value problem13
Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors13
Global small finite energy solutions for the incompressible magnetohydrodynamics equations in 13
Flow underlying coupled surface and internal waves13
Bifurcation theory of limit cycles by higher order Melnikov functions and applications13
Soliton resolution for the complex short-pulse positive flow with weighted Sobolev initial data in the space-time soliton regions13
Global quantitative stability of wave equations with strong and weak dampings13
On enhanced dissipation for the Boussinesq equations13
The invariance principle for nonlinear Fokker–Planck equations12
Strong unique continuation property for fourth order Baouendi-Grushin type subelliptic operators with strongly singular potential12
Interior jump and contact singularity for compressible flows with inflow jump datum12
Higher order boundary Harnack principles in Dini type domains12
On the planar Choquard equation with indefinite potential and critical exponential growth12
On the weighted inertia-energy approach to forced wave equations12
A Beale-Kato-Majda criterion for three dimensional compressible viscous non-isentropic magnetohydrodynamic flows without heat-conductivity12
Invariant manifolds of homoclinic orbits and the dynamical consequences of a super-homoclinic: A case study in 12
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations12
Multiplicity-induced-dominancy for delay-differential equations of retarded type12
Determining an anisotropic conductivity by boundary measurements: Stability at the boundary12
Painlevé-type asymptotics of an extended modified KdV equation in transition regions12
Subsonic Euler-Poisson flows with self-gravitation in an annulus12
Local exact controllability for a viscous compressible two-phase model12
Stokes and Navier-Stokes equations subject to partial slip on uniform C2,1-domains in L-spaces12
Uniqueness of positive radial solutions of superlinear elliptic equations in annuli12
Global solution to the cubic Dirac equation in two space dimensions12
Random Hamiltonians with arbitrary point interactions in one dimension12
Linear modulational and subharmonic dynamics of spectrally stable Lugiato-Lefever periodic waves12
Homogenization of Richards' equations in multiscale porous media with soft inclusions11
On the rigidity from infinity for nonlinear Alfvén waves11
Improved blow-up criteria for some Camassa-Holm type equations11
Recursive properties of generalized ordinary differential equations and applications11
Bifurcations in Holling-Tanner model with generalist predator and prey refuge11
A weighted Sobolev regularity theory of the parabolic equations with measurable coefficients on conic domains in 11
A new result for global solvability in a singular chemotaxis-growth system with indirect signal production11
Stability and instability of standing waves for the fractional nonlinear Schrödinger equations11
Miura transformations and large-time behaviors of the Hirota-Satsuma equation11
Decay of entropy solutions of a scalar conservation law beyond a stationary ergodic setting11
Small linear perturbations of fractional Choquard equations with critical exponent11
Classification of blow-up and global existence of solutions to an initial Neumann problem11
Polynomial differential equations over the quaternions11
A sharp Moser-Trudinger type inequality involving L norm in R11
Existence of a BV solution for a mean curvature equation11
On some partial data Calderón type problems with mixed boundary conditions11
Bulk-surface coupling: Derivation of two models11
Boundedness in a chemotaxis-fluid system involving a gradient-dependent flux limitation and indirect signal production mechanism10
Normal forms of a class of partial functional differential equations10
Multi-piece of bubble solutions for a nonlinear critical elliptic equation10
Global existence and non-existence analyses for a semilinear edge degenerate parabolic equation with singular potential term10
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation10
Polynomial ergodic averages of measure-preserving systems acted by Z10
Global well-posedness of strong solutions to the 2D nonhomogeneous incompressible primitive equations with vacuum10
Uniqueness and non-degeneracy of ground states for Choquard equations with fractional Laplacian10
Large deviations principle via Malliavin calculus for the Navier–Stokes system driven by a degenerate white-in-time noise10
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations10
First-order reduction and emergent behavior of the one-dimensional kinetic Cucker-Smale equation10
Heat kernel estimates for subordinate Markov processes and their applications10
The interplay of critical regularity of nonlinearities in a weakly coupled system of semi-linear damped wave equations10
Calderón-Zygmund estimates for nonlinear equations of differential forms with BMO coefficients10
An efficient method for computing Liouvillian first integrals of planar polynomial vector fields10
Induced delay equations10
Uniform regularity for incompressible MHD equations in a bounded domain with curved boundary in 3D10
On the uniqueness and monotonicity of solutions of free boundary problems10
Editorial Board10
Hybrid stochastic functional differential equations with infinite delay: Approximations and numerics10
Asymptotic behavior of the Kuramoto system with periodic natural frequency10
Wave breaking phenomena for the generalized hyperelastic rod wave equation10
The free boundary for a semilinear non-homogeneous Bernoulli problem10
Small energy stabilization for 1D nonlinear Klein Gordon equations10
Local well-posedness for the Hall-MHD system in optimal Sobolev spaces10
Small data solutions for the Euler-Poisson-Darboux equation with a power nonlinearity10
Hausdorff and fractal dimensions of attractors for functional differential equations in Banach spaces10
Dissipative solutions and Markov selection to the complete stochastic Euler system10
Propagation phenomena of a vector-host disease model10
Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations10
Boundedness of solutions to an attraction-repulsion chemotaxis model in 9
Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups. II9
Semilinear Schrödinger equations with a critical scale of the singular electromagnetic field9
Global solvability for nonlinear wave equations with singular potential9
Editorial Board9
Long-time behavior for evolution processes associated with non-autonomous nonlinear Schrödinger equation9
A Gauss curvature flow approach to the torsional Minkowski problem9
A coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent: Existence and multiplicity of high energy positive solutions9
Editorial Board9
Editorial Board9
Editorial Board9
Editorial Board9
Stochastic nutrient-plankton models9
Editorial Board9
Editorial Board9
Editorial Board9
Stability of coupled jump diffusions and applications9
Traveling waves for the Keller-Segel-FKPP equation with strong chemotaxis9
Editorial Board9
Classical flows of vector fields with exponential or sub-exponential summability9
Fine asymptotic expansion of the ODE's flow9
Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts9
On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition9
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