Nonlinear Analysis-Theory Methods & Applications

Papers
(The TQCC of Nonlinear Analysis-Theory Methods & Applications is 3. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Liouville theorems and Harnack inequalities for Allen–Cahn type equation33
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group29
Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts28
A partially overdetermined problem for the p-Laplace equation in a con28
Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation with convective nonlinearity22
Editorial Board22
An upper bound for the box dimension of the hyperbolic dynamics via unstable topological pressure21
Global low regularity solutions to the Benjamin equation in weighted spaces19
Excess decay for minimizing hypercurrents mod 2Q19
Editorial Board19
Global gradient estimates for very singular quasilinear elliptic equations with non-divergence data18
Spectral stability of the Steklov problem17
Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension16
Editorial Board14
Quantitative tame properties of differentiable functions with controlled derivatives14
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Gamma-convergence of quadratic functionals perturbed by bounded linear functionals13
Editorial Board12
Special issue on variational models for discrete systems editorial12
Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system12
Stochastic Lagrangian perturbation of Lie transport and applications to fluids12
Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: The higher dimensional case12
Asymptotic study of supercritical surface Quasi-Geostrophic equation in critical space11
Existence result for a two-dimensional system of conservation laws with unilateral constraints11
On multi-species diffusion with size exclusion11
Finite time/Infinite time blow-up behaviors for the inhomogeneous nonlinear Schrödinger equation11
Editorial Board10
Principal eigenvalue, maximum principles and linear stability for nonlocal diffusion equations in metric measure spaces10
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Radial solutions for a dynamic debonding model in dimension two10
Editorial Board10
On the extension problem for semiconcave functions with fractional modulus10
Separately global solutions to rate-independent processes in large-strain inelasticity10
Ground state solution for strongly indefinite Choquard system10
Oblique derivative problem in a plane sector for strong quasi-linear elliptic second-order equation with perturbed 10
Local behavior of positive solutions to a nonlinear biharmonic equation near isolated singularities10
Boundedness for solutions of weighted forward–backward parabolic equations without assuming higher regularity10
Editorial Board10
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Linear inviscid damping in Sobolev and Gevrey spaces9
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On the obstacle problem for fractional semilinear wave equations9
Existence results for Cahn–Hilliard-type systems driven by nonlocal integrodifferential operators with singular kernels9
Extremal eigenvalues of the Conformal Laplacian under Sire–Xu normalization9
Classification and non-degeneracy of positive radial solutions for a weighted fourth-order equation and its application8
Existence of solutions for hybrid systems of differential equations under exogenous information with discontinuous source term8
Variational and stability properties of coupled NLS equations on the star graph8
On complete gradient Schouten solitons8
Large global solutions to the three dimensional compressible flow of liquid crystals8
Existence and nonexistence of sign-changing solutions for singular semilinear equations on exterior domains8
Remarks on nonlinear Schrödinger equations arising on rotational Bose–Einstein condensates7
Existence of weak solutions for inhomogeneous generalized Navier–Stokes equations7
Gradient Hölder regularity for degenerate parabolic systems7
Schauder and Calderón–Zygmund type estimates for fully nonlinear parabolic equations under “small ellipticity aperture” and applications7
Convex hull property for elliptic and parabolic systems of PDE7
Subharmonic solutions in reversible non-autonomous differential equations7
Existence of a positive solution for a singular elliptic problem with general exponential growth7
The Cauchy–Dirichlet problem for the fast diffusion equation on bounded domains7
Existence results for thek-Hessian type system with the gradients via7
Gradient estimates for a general type of nonlinear parabolic equations under geometric conditions and related problems7
Precise asymptotics near a generic S7
Large time asymptotics for the modified Korteweg–de Vries-Benjamin–Ono equation7
Hamiltonian elliptic systems with critical polynomial-exponential growth7
A note on the persistence of multiplicity of eigenvalues of fractional Laplacian under perturbations7
The critical exponent for semilinear σ-evolution equations with a str7
An extension theorem from connected sets and homogenization of non-local functionals7
Singular solutions to k-Hessian equations with fast-growing nonlineari7
Variational competition between the full Hessian and its determinant for convex functions7
The regularity theory for the double obstacle problem for fully nonlinear operator7
Doubly-nonlinear evolution equations of rate-independent type with irreversibility and energy balance law7
On the equation D7
Normalized traveling solitary waves for a class of nonlinear half-wave equations7
Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension6
Concentration of solutions for a fractional relativistic Schrödinger–Choquard equation with critical growth6
On the dimension of divergence sets of Schrödinger equation with complex time6
Asymptotic profile of ground states for the Schrödinger–Poisson–Slater equation6
The cubic nonlinear fractional Schrödinger equation on the half-line6
Global analytic solutions of a pseudospherical Novikov equation6
Estimates for minimizers of some relaxed polyconvex functionals6
BV spaces and the perimeters related to Schrödinger operators with inverse-square potentials and applications to the rank-one theorem6
Critical boundary value problems in the upper half-space6
Local curvature estimates for the Ricci-harmonic flow6
Mixed boundary value problems for fully nonlinear degenerate or singular equations6
Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher–KPP equation6
p-Wasserstein barycenters6
An extreme limit with nonnegative scalar curvature6
Lower bounds for the length of the second fundamental form via the first eigenvalue of the 6
An ODE reduction method for the semi-Riemannian Yamabe problem on space forms6
Spacelike Surfaces in L6
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces6
A Simons type integral inequality for closed submanifolds in the product space 6
Abstract Cauchy problems for the generalized fractional calculus6
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions6
Singularities in finite time of the full compressible Euler equations in 5
Asymptotic profiles and concentration–diffusion effects in fractional incompressible flows5
Semilinear equations for non-local operators: Beyond the fractional Laplacian5
Hessian matrix non-decomposition theorem and its application to nonlinear filtering5
Minimization of Dirichlet energy of j5
Convergence of Multiplier Operators on Compact Manifolds5
Higher regularity for minimizers of very degenerate convex integrals5
On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian5
On the higher derivatives estimate of the surface growth equation5
Trudinger–Moser type inequalities with a symmetric conical metric and a symmetric potential5
Asymptotic of the discrete volume-preserving fractional mean curvature flow via a nonlocal quantitative Alexandrov theorem5
Periodic fractional Ambrosetti–Prodi for one-dimensional problem with drift5
Quantitative estimates for fractional Sobolev mappings in rational homotopy groups5
Decay of strong solution for the compressible Navier–Stokes equations with large initial data5
Perimeter inequality under circular and Steiner symmetrisation: Geometric characterisation of extremals5
Differential Harnack inequalities for semilinear parabolic equations on 5
Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity5
On the extension of Muckenhoupt weights in metric spaces5
On the nonlinear Dysthe equation5
Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions5
Convergence rate of solutions towards spiky steady state for the Keller–Segel system with logarithmic sensitivity5
On an area-preserving locally constrained inverse curvature flow of convex curves5
Almost minimizers to a transmission problem for (p5
Stability of traveling waves of the nonlocal Fisher–KPP equation5
An inverse problem for a quasilinear convection–diffusion equation5
The Liouville theorem for Sum Hessian equations in half spaces5
Spreading speed in a fractional attraction–repulsion chemotaxis system with logistic source5
Stochastic inviscid Leray-α model with transport noise: Convergence ra5
The thin obstacle problem for some variable coefficient degenerate elliptic operators5
Global existence versus finite time blowup dichotomy for the dispersion managed NLS4
Editorial Board4
Improved regularity estimates for Lagrangian flows on RCD4
Ancient finite entropy flows by powers of curvature in 4
Lower regularity solutions of the non-homogeneous boundary-value problem for a higher order Boussinesq equation in a quarter plane4
Editorial Board4
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Some rigidity properties for λ-self-expanders4
Regularity and symmetry results for the vectorial p-Laplacian4
Homogenization of the p-Laplace equation in a periodic setting with a4
Existence for fractional (p,4
On a Cahn–Hilliard system with source term and thermal memory4
On existence for some fully nonlinear equations of Krylov-type arising in conformal geometry4
Norm inflation with infinite loss of regularity at general initial data for nonlinear wave equations in Wiener amalgam and Fourier amalgam spaces4
Optimal decay and regularity for a Thomas–Fermi type variational problem4
Generalized fractals in semimetric spaces4
Entire sign-changing solutions to the fractional p-Laplacian equation 4
Editorial Board4
Uniqueness for quasilinear elliptic problems in a two-component domain with <4
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Periodic solutions for the Blackstock–Crighton–Westervelt equation4
High order asymptotic inequalities for some dissipative systems4
Editorial Board4
Boltzmann to Landau from the gradient flow perspective4
The initial boundary value problem for second order traffic flow models with vacuum: Existence of entropy weak solutions4
Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model4
Sobolev norms explosion for the cubic NLS on irrational tori4
Homogenization in perforated domains at the critical scale4
Upper bounds of Hessian matrix and gradient estimates of positive solutions to the nonlinear parabolic equation along Ricci flow4
Large time existence of Euler–Korteweg equations and two-fluid Euler–Maxwell equations with vorticity4
Morse index computation for radial solutions of the Hénon problem in the disk4
Editorial Board4
Energy bounds of sign-changing solutions to Yamabe equations on manifolds with boundary4
C1,4
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Unique continuation from a crack’s tip under Neumann boundary conditions4
Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems4
Limit cycles for some families of smooth and non-smooth planar systems4
Minimizers for a one-dimensional interaction energy3
Blow-up phenomena in a parabolic–elliptic–elliptic attraction–repulsion chemotaxis system with superlinear logistic degradation3
Evolution of graphs in hyperbolic space by their Gauss curvature3
Optimal well-posedness and forward self-similar solution for the Hardy–Hénon parabolic equation in critical weighted Lebesgue spaces3
A “boundedness implies convergence” principle and its applications to collapsing estimates in Kähler geometry3
Invariance and strict invariance for nonlinear evolution problems with applications3
Coupled Elliptic systems with sublinear growth3
On absolute continuity of invariant measures associated with a piecewise-deterministic Markov process with random switching between flows3
Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics3
The existence of minimizers of energy for diffeomorphisms between two-dimensional annuli in 3
Monotonicity results of solutions to the uniformly elliptic nonlocal Bellman system3
Corrigendum to ‘Applications of Strassen’s theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions’ [Nonlinear Anal., 232 (2023) 113263
The concentration-compactness principle for the nonlocal anisotropic p3
A Serrin-type problem with partial knowledge of the domain3
Transition fronts of Fisher–KPP equations in locally spatially inhomogeneous patchy environments3
The volume-preserving Willmore flow3
Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities3
Well-posedness and inverse problems for semilinear nonlocal wave equations3
Quasilinear Lane–Emden type systems with sub-natural growth terms3
Dimension of divergence set of the wave equation3
Bifurcation from infinity of the Schrödinger equation via invariant manifolds3
Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators3
Liouville theorems for ancient solutions to the V-harmonic map heat fl3
A priori bounds and multiplicity results for slightly superlinear and sublinear elliptic 3
Lie groups of real analytic diffeomorphisms are L3
Nonuniqueness in law for stochastic hypodissipative Navier–Stokes equations3
Exponential ergodicity in the bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching between flows3
Sharp weighted Strichartz estimates and critical inhomogeneous Hartree equations3
Local and some type of large solutions for the chemotaxis-fluid equations with partial dissipation3
Weak and strong averaging principle for a stochastic coupled fast–slow atmosphere–ocean model with non-Lipschitz Lévy noise3
Removable sets andLp3
Liouville theorem and a priori estimates of radial solutions for a non-cooperative elliptic system3
Editorial Board3
Classification and symmetry of positive solutions for weighted integral system3
Measures in the dual of BV: peri3
Minimality of polytopes in a nonlocal anisotropic isoperimetric problem3
Unsteady non-Newtonian fluid flows with boundary conditions of friction type: The case of shear thickening fluids3
Lavrentiev gap for some classes of generalized Orlicz functions3
The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis3
Gap results and existence of free boundary CMC surfaces in rotational domains3
Critical and subcritical fractional Hamiltonian systems of Schrödinger equations with vanishing potentials3
q-moment estimates for the singular 3
Constant weighted mean curvature hypersurfaces in shrinking Ricci solitons3
Non-convex Hamilton–Jacobi equations with gradient constraints3
Combinatorial p-th Ricci flows on surfaces3
A classical S3
Nonlocal differential equations with concave coefficients of convolution type3
On fractional Poincaré inequality for unbounded domains with finite ball conditions: Counter example3
Well-posedness for the 1D cubic nonlinear Schrödinger equation in L3
On the p-torsional rigidity of combinatorial graphs3
Regularization estimates of the Landau–Coulomb diffusion3
An uncertainty principle on the Lorentz spaces3
Asymptotics of solutions with a compactness property for the nonlinear damped Klein–Gordon equation3
Embedded Delaunay tori and their Willmore energy3
On the pure jump nature of crack growth for a class of pressure-sensitive elasto-plastic materials3
Uniform Lipschitz estimates up to the boundary for singular perturbation problem for some nonlinear elliptic PDEs with unbounded ingredients3
Geometric inequalities and their stabilities for modified quermassintegrals in hyperbolic space3
Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models3
Interior and up to the boundary regularity for the fractional g-Laplac3
Decay characterization of weak solutions for the MHD micropolar equations on <3
Sign-changing bubble tower solutions for a critical fractional problem3
Weighted estimates for maximal functions associated with finite type curves in 3
A compactness Theorem for functions on Poisson point clouds3
Symmetry breaking bifurcation of membranes with boundary3
Classical solutions for fractional porous medium flow3
A sufficient condition for blowup of the nonlinear Klein–Gordon equation with positive initial energy in FLRW spacetimes3
Global existence for a class of non-equilibrium reaction–diffusion systems with flux limitation3
A monotonicity property of the p-torsional rigidity3
On the global and singular dynamics of the 2D cubic nonlinear Schrödinger equation on cylinders3
The global existence of generalized solutions to the time-dependent Thomas–Fermi equations3
Regularizing effect of homogeneous evolution equations with perturbation3
Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations3
Exponential convergence in entropy and Wasserstein for McKean–Vlasov SDEs3
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