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 2021-07-01 to 2025-07-01.)
ArticleCitations
Variational and stability properties of coupled NLS equations on the star graph37
Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher–KPP equation34
Trudinger–Moser type inequalities with a symmetric conical metric and a symmetric potential33
Doubly-nonlinear evolution equations of rate-independent type with irreversibility and energy balance law29
Global analytic solutions of a pseudospherical Novikov equation23
On the dimension of divergence sets of Schrödinger equation with complex time23
Large time asymptotics for the modified Korteweg–de Vries-Benjamin–Ono equation22
Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity21
Normalized traveling solitary waves for a class of nonlinear half-wave equations20
Hessian matrix non-decomposition theorem and its application to nonlinear filtering20
Subharmonic solutions in reversible non-autonomous differential equations20
Editorial Board19
Editorial Board18
Existence and nonexistence of sign-changing solutions for singular semilinear equations on exterior domains15
Large global solutions to the three dimensional compressible flow of liquid crystals15
Editorial Board15
Excess decay for minimizing hypercurrents mod 2Q13
Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: The higher dimensional case13
Oblique derivative problem in a plane sector for strong quasi-linear elliptic second-order equation with perturbed 13
Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems13
Higher regularity for minimizers of very degenerate convex integrals13
Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation with convective nonlinearity13
An upper bound for the box dimension of the hyperbolic dynamics via unstable topological pressure12
Existence of solutions for hybrid systems of differential equations under exogenous information with discontinuous source term12
Stochastic Lagrangian perturbation of Lie transport and applications to fluids12
Decay characterization of weak solutions for the MHD micropolar equations on <12
Improved regularity estimates for Lagrangian flows on RCD12
On the obstacle problem for fractional semilinear wave equations12
Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension12
A Simons type integral inequality for closed submanifolds in the product space 12
Editorial Board11
Morse index computation for radial solutions of the Hénon problem in the disk11
On local energy decay for solutions to the b-family of peakon equations11
Global existence and Blow-up for the 1D damped compressible Euler equations with time and space dependent perturbation11
Editorial Board11
High order asymptotic inequalities for some dissipative systems11
Weak solutions of coupled variable-density flows and heat transfer in porous media11
Editorial Board10
Editorial Board10
Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations10
Editorial Board10
An uncertainty principle on the Lorentz spaces10
Existence and boundedness of weak solutions to some vectorial Dirichlet problems10
Editorial Board10
Existence and regularity for solutions of quasilinear degenerate elliptic systems10
Evolution of graphs in hyperbolic space by their Gauss curvature10
Classification and symmetry of positive solutions for weighted integral system9
Unique continuation from a crack’s tip under Neumann boundary conditions9
Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus9
Minimal energy configurations of bilayer plates as a polynomial optimization problem9
Approximate boundary controllability for parabolic equations with inverse square infinite potential wells9
Transition fronts of Fisher–KPP equations in locally spatially inhomogeneous patchy environments9
Measures in the dual of BV: peri9
A singular limit of a family of variational evolutions for a brittle elastic bi-layer8
Minimisers of a general Riesz-type problem8
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials8
On some nonlocal problems in the calculus of variations8
Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball8
Editorial Board8
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds II: Integral curvature condition8
Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes8
The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain8
Almost sure scattering for the nonlinear Klein–Gordon equations with Sobolev critical power8
Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source8
On the singular limit problem for a discontinuous nonlocal conservation law8
Narrow operators on C-complete lattice-normed spaces8
Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators8
Homogenization of discrete thin structures8
Editorial Board8
Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals7
Generalized Fountain Theorem for Locally Lipschitz Functionals and application7
Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations7
A double obstacle problem in an optimal investment problem7
A comparison principle for the Lane–Emden equation and applications to geometric estimates7
Exploring a modification of dp7
Curved thin-film limits of chiral Dirichlet energies7
Ground state in the energy super-critical Gross–Pitaevskii equation with a harmonic potential7
Liouville type theorems and stability of Φ7
Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods7
Homogenisation of local colloid evolution induced by reaction and diffusion7
Parabolic equations with non-standard growth and measure or integrable data7
Extinction and non-extinction profiles for the sub-critical fast diffusion equation with weighted source7
Regularity of almost minimizers for the parabolic thin obstacle problem7
A metric stability result for the very strict CD condition7
Interior pointwise C27
Cosh gradient systems and tilting7
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems7
Editorial Board7
Stability of a coupled wave-Klein–Gordon system with non-compactly supported initial data7
Local uniqueness of minimizers for Choquard type equations7
Microscopic derivation of non-local models with anomalous diffusions from stochastic particle systems7
Local well posedness for a system of quasilinear PDEs modelling suspension bridges6
Partial gradient regularity for parabolic systems with degenerate diffusion and Hölder continuous coefficients6
Uniqueness and regularity of the fractional harmonic gradient flow in 6
On the complex constant rank condition and inequalities for differential operators6
On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint6
Approximation, regularity and positivity preservation on Riemannian manifolds6
Planar Hamiltonian systems: Index theory and applications to the existence of subharmonics6
Editorial Board6
On a zero-mass (N,q<6
On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces6
Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials6
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups6
Editorial Board6
The log entropy formula and entropy power for p-heat equation on Riem6
The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg–de Vries equation6
Solitons and solitonic vortices in a strip6
Prescribing Morse Scalar Curvatures: Incompatibility of Non Existence6
On blowup solutions for the mixed fractional Schrödinger equation of Choquard type6
The 2-dimensional nonlinear Schrödinger–Maxwell system6
Generalized characteristics for finite entropy solutions of Burgers’ equation6
Ergodicity of the Fisher infinitesimal model with quadratic selection6
Infinitely many sign-changing solutions to a conformally invariant integral equation on 6
A quantitative result for the k-Hessian equation6
Viability and invariance of systems on metric spaces6
Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential6
Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data5
A Schwarz lemma and a Liouville theorem for generalized harmonic maps5
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation5
Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation5
Some qualitative and quantitative properties of weak solutions to mixed anisotropic and nonlocal quasilinear elliptic and doubly nonlinear parabolic equations5
Inverse pressure for finitely generated semigroups5
Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models5
Global solutions of quasi-linear Hamiltonian mKdV equation5
Existence results for a borderline case of a class of p-Laplacian pro5
Improved local existence result of the Green–Naghdi equations with the Coriolis effect5
Vector-valued Sobolev spaces based on Banach function spaces5
Propagation for KPP bulk-surface systems in a general cylindrical domain5
Gradient estimates for weighted harmonic function with Dirichlet boundary condition5
Interface logistic problems: Large diffusion and singular perturbation results5
A log-weighted Moser inequality on the plane5
Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid5
A compactness result for inhomogeneous nonlinear Schrödinger equations5
Low regularity theory for the inverse fractional conductivity problem5
Inhomogeneous cancellation conditions and Calderón–Zygmund type operators on <5
Quasiconformal properties of Qp5
Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab5
Overdetermined problems with a nonconstant Neumann boundary condition in a warped product manifold5
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group5
Bubbling solutions of mixed type for a general non-Abelian Chern–Simons–Higgs system of rank 2 over a torus5
Boundedness for solutions of weighted forward–backward parabolic equations without assuming higher regularity5
On the uniqueness of solutions to the isotropic L<5
On the autonomous Nemytskii operator between Sobolev spaces in the critical and supercritical cases: Well-definedness and higher-order chain rule5
One-dimensional symmetry of solutions to non-cooperative elliptic systems5
A two phase boundary obstacle-type problem for the bi-Laplacian5
Exact controllability for nonlocal and nonlinear hyperbolic PDEs5
A smectic liquid crystal model in the periodic setting5
Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree–Fock theory5
Existence and asymptotic behavior of solutions for a quasilinear Schrödinger equation with Hardy potential5
Existence result for a two-dimensional system of conservation laws with unilateral constraints5
Energy conservation of the compressible Euler equations and the Navier–Stokes equations via the gradient5
Boundary estimates for solutions of the Monge–Ampère equation satisfying Dirichlet–Neumann type conditions in annular domains5
On fractional Poincaré inequality for unbounded domains with finite ball conditions: Counter example4
A regularity result for the Fokker–Planck equation with non-smooth drift and diffusion4
Stochastic inviscid Leray-α model with transport noise: Convergence ra4
Existence for fractional (p,4
A partially overdetermined problem for the p-Laplace equation in a con4
Decay of strong solution for the compressible Navier–Stokes equations with large initial data4
Hadamard’s inequality in the mean4
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces4
Editorial Board4
Critical boundary value problems in the upper half-space4
Minimizers for a one-dimensional interaction energy4
Well-posedness and inverse problems for semilinear nonlocal wave equations4
A monotonicity property of the p-torsional rigidity4
Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models4
The global existence of generalized solutions to the time-dependent Thomas–Fermi equations4
p-Wasserstein barycenters4
Precise asymptotics near a generic S4
Asymptotic profile of ground states for the Schrödinger–Poisson–Slater equation4
Boundary value problems for Choquard equations4
On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian4
Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics4
Nonexistence of global solutions to the Euler–Poisson–Darboux equation in Rn: Subcritical case4
Uniqueness and stability of forced waves for the Fisher–KPP equation in a shifting environment4
Quantitative estimates for fractional Sobolev mappings in rational homotopy groups4
Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities4
C1,4
A classical S4
On absolute continuity of invariant measures associated with a piecewise-deterministic Markov process with random switching between flows4
Some rigidity properties for λ-self-expanders4
Norm inflation with infinite loss of regularity at general initial data for nonlinear wave equations in Wiener amalgam and Fourier amalgam spaces4
Korevaar–Schoen p-energies and their 4
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions4
Homogenization in perforated domains at the critical scale4
Existence results for thek-Hessian type system with the gradients via4
Almost minimizers to a transmission problem for (p4
Convergence rate of solutions towards spiky steady state for the Keller–Segel system with logarithmic sensitivity4
Static Black Hole Uniqueness for nonpositive masses4
The regularity theory for the double obstacle problem for fully nonlinear operator4
Uniqueness for quasilinear elliptic problems in a two-component domain with <4
A fully nonlinear locally constrained anisotropic curvature flow4
Editorial Board4
Embedded Delaunay tori and their Willmore energy4
Editorial Board3
The very singular solution for the Anisotropic Fast Diffusion Equation and its consequences3
Lagrangian solutions to the transport–Stokes system3
Unconditional flocking for weak solutions to self-organized systems of Euler-type with all-to-all interaction kernel3
Local Lipschitz continuity for p,q3
Series expansion of weighted Finsler–Kato–Hardy inequalities3
Maximum principles, Liouville theorem and symmetry results for the fractional g3
The obstacle problem for the Monge–Ampère equation with the lower obstacle3
Traveling wave solutions for two species competitive chemotaxis systems3
Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions3
Monotone sets and local minimizers for the perimeter in Carnot groups3
Global dynamics of stochastic tidal equations3
A free boundary problem in Orlicz spaces related to mean curvature3
Weak solutions for steady, fully inhomogeneous generalized Navier-Stokes equations3
Generating loops and isolas in semilinear elliptic BVP’s3
List’s flow with integral curvature bounds on complete noncompact Riemannian manifolds3
Variational solutions to the total variation flow on metric measure spaces3
Minimization of a Ginzburg–Landau functional with mean curvature operator in 1-D3
Can a population survive in a shifting environment using non-local dispersion?3
The Korteweg–de Vries equation on the half-line with Robin and Neumann data in low regularity spaces3
Editorial Board3
Bifurcation of double eigenvalues for Aharonov–Bohm operators with a moving pole3
Derivation and well-posedness for asymptotic models of cold plasmas3
Jacobi fields in optimal control: Morse and Maslov indices3
Existence of minimizers for a generalized liquid drop model with fractional perimeter3
A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary3
Liouville-type results for some quasilinear anisotropic elliptic equations3
Quantitative stability estimates for a two-phase Serrin-type overdetermined problem3
Elliptic Hamilton–Jacobi systems and Lane–Emden Hardy–Hénon equations3
A semigroup approach to a reaction–diffusion system with cross-diffusion3
The Nonlinear Schrödinger–Airy equation in weighted Sobolev spaces3
Absence of Lavrentiev’s gap for anisotropic functionals3
Symmetry of solutions to semilinear PDEs on Riemannian domains3
Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev–Petviashvili–Burgers equation in 2D3
On a new singular and degenerate extension of the p-Laplace operator3
Dissociation limit in Kohn–Sham density functional theory3
Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms3
Boundary Lipschitz regularity of solutions for general semilinear elliptic equations in divergence form3
Hopf bifurcation in a diffusive population system with nonlocal delay effect3
Stationary soap films with vertical potentials3
The anisotropic convexity of domains and the boundary estimate for two Monge–Ampère equations3
Thin film equations with nonlinear deterministic and stochastic perturbations3
Standing waves for Schrödinger equations with Kato–Rellich potentials3
Density and non-density ofC3
Magnetic curves in the generalized Heisenberg group3
Quantitative estimates for parabolic optimal control problems under L3
Applications of cone structures to the anisotropic rheonomic Huygens’ principle3
Continuity results for degenerate diffusion equations with 3
Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold3
Injectivity of polynomial maps and foliations in the real plane3
Fractional Hardy–Rellich inequalities via integration by parts3
Bernstein–Remez inequality for algebraic functions: A topological approach3
Cherrier–Escobar problem for the elliptic Schrödinger-to-Neumann map3
An estimate concerning the difference between minimizer and boundary value in some polyconvex problems3
Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint3
Nonlinear elliptic p-Laplacian equations in the whole space3
0.073035001754761