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 2021-10-01 to 2025-10-01.)
ArticleCitations
Variational and stability properties of coupled NLS equations on the star graph39
Trudinger–Moser type inequalities with a symmetric conical metric and a symmetric potential39
Doubly-nonlinear evolution equations of rate-independent type with irreversibility and energy balance law35
Global analytic solutions of a pseudospherical Novikov equation33
Large time asymptotics for the modified Korteweg–de Vries-Benjamin–Ono equation25
Editorial Board23
Hessian matrix non-decomposition theorem and its application to nonlinear filtering23
Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity23
Editorial Board22
Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems21
Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: The higher dimensional case21
Editorial Board21
Existence and nonexistence of sign-changing solutions for singular semilinear equations on exterior domains18
Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation with convective nonlinearity17
Higher regularity for minimizers of very degenerate convex integrals15
Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher–KPP equation15
Oblique derivative problem in a plane sector for strong quasi-linear elliptic second-order equation with perturbed 15
Large global solutions to the three dimensional compressible flow of liquid crystals14
Stochastic Lagrangian perturbation of Lie transport and applications to fluids14
Improved regularity estimates for Lagrangian flows on RCD14
Existence of solutions for hybrid systems of differential equations under exogenous information with discontinuous source term14
Subharmonic solutions in reversible non-autonomous differential equations13
Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension13
Excess decay for minimizing hypercurrents mod 2Q13
An upper bound for the box dimension of the hyperbolic dynamics via unstable topological pressure13
On local energy decay for solutions to the b-family of peakon equations12
Weak solutions of coupled variable-density flows and heat transfer in porous media12
Decay characterization of weak solutions for the MHD micropolar equations on <12
Editorial Board12
Global existence and Blow-up for the 1D damped compressible Euler equations with time and space dependent perturbation12
Measures in the dual of BV: peri12
Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators12
Editorial Board12
High order asymptotic inequalities for some dissipative systems12
Editorial Board12
Editorial Board12
Morse index computation for radial solutions of the Hénon problem in the disk12
Existence and boundedness of weak solutions to some vectorial Dirichlet problems11
Existence and regularity for solutions of quasilinear degenerate elliptic systems11
Editorial Board11
Classification and symmetry of positive solutions for weighted integral system10
Minimal energy configurations of bilayer plates as a polynomial optimization problem10
Transition fronts of Fisher–KPP equations in locally spatially inhomogeneous patchy environments10
Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations10
Evolution of graphs in hyperbolic space by their Gauss curvature10
An uncertainty principle on the Lorentz spaces10
Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus10
The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain9
Approximate boundary controllability for parabolic equations with inverse square infinite potential wells9
Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball9
On some nonlocal problems in the calculus of variations9
Unique continuation from a crack’s tip under Neumann boundary conditions9
Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals9
Narrow operators on C-complete lattice-normed spaces9
Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes9
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds II: Integral curvature condition8
Liouville type theorems and stability of Φ8
A singular limit of a family of variational evolutions for a brittle elastic bi-layer8
H18
A double obstacle problem in an optimal investment problem8
Interior pointwise C28
Editorial Board8
Almost sure scattering for the nonlinear Klein–Gordon equations with Sobolev critical power8
On the singular limit problem for a discontinuous nonlocal conservation law8
Scattering for the one dimensional Hartree Fock equation8
Homogenization of discrete thin structures8
Generalized Fountain Theorem for Locally Lipschitz Functionals and application8
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials8
Editorial Board8
Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source8
Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods8
Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations8
Cosh gradient systems and tilting8
Generalized characteristics for finite entropy solutions of Burgers’ equation7
Partial gradient regularity for parabolic systems with degenerate diffusion and Hölder continuous coefficients7
Local uniqueness of minimizers for Choquard type equations7
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems7
A comparison principle for the Lane–Emden equation and applications to geometric estimates7
Curved thin-film limits of chiral Dirichlet energies7
Regularity of almost minimizers for the parabolic thin obstacle problem7
Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials7
On the complex constant rank condition and inequalities for differential operators7
On blowup solutions for the mixed fractional Schrödinger equation of Choquard type7
Local well posedness for a system of quasilinear PDEs modelling suspension bridges7
Homogenisation of local colloid evolution induced by reaction and diffusion7
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups7
A metric stability result for the very strict CD condition7
Exploring a modification of dp7
Uniqueness and regularity of the fractional harmonic gradient flow in 7
Extinction and non-extinction profiles for the sub-critical fast diffusion equation with weighted source7
Microscopic derivation of non-local models with anomalous diffusions from stochastic particle systems7
Stability of a coupled wave-Klein–Gordon system with non-compactly supported initial data7
Editorial Board7
Parabolic equations with non-standard growth and measure or integrable data7
Planar Hamiltonian systems: Index theory and applications to the existence of subharmonics6
On a zero-mass (N,q<6
Global solutions of quasi-linear Hamiltonian mKdV equation6
A smectic liquid crystal model in the periodic setting6
A Schwarz lemma and a Liouville theorem for generalized harmonic maps6
The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg–de Vries equation6
A quantitative result for the k-Hessian equation6
Exact controllability for nonlocal and nonlinear hyperbolic PDEs6
Inverse pressure for finitely generated semigroups6
On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces6
The 2-dimensional nonlinear Schrödinger–Maxwell system6
Editorial Board6
Quasiconformal properties of Qp6
Existence results for a borderline case of a class of p-Laplacian pro6
Overdetermined problems with a nonconstant Neumann boundary condition in a warped product manifold6
On the autonomous Nemytskii operator between Sobolev spaces in the critical and supercritical cases: Well-definedness and higher-order chain rule6
Existence and asymptotic behavior of solutions for a quasilinear Schrödinger equation with Hardy potential6
Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab6
Viability and invariance of systems on metric spaces6
Solitons and solitonic vortices in a strip6
A two phase boundary obstacle-type problem for the bi-Laplacian6
Prescribing Morse Scalar Curvatures: Incompatibility of Non Existence6
On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint6
Ergodicity of the Fisher infinitesimal model with quadratic selection6
Editorial Board6
Inhomogeneous cancellation conditions and Calderón–Zygmund type operators on <6
Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree–Fock theory6
A compactness result for inhomogeneous nonlinear Schrödinger equations6
Low regularity theory for the inverse fractional conductivity problem6
Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models6
Infinitely many sign-changing solutions to a conformally invariant integral equation on 6
Approximation, regularity and positivity preservation on Riemannian manifolds6
Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential6
Curved nonlinear waveguides5
Some qualitative and quantitative properties of weak solutions to mixed anisotropic and nonlocal quasilinear elliptic and doubly nonlinear parabolic equations5
The regularity theory for the double obstacle problem for fully nonlinear operator5
Editorial Board5
Precise asymptotics near a generic S5
p-Wasserstein barycenters5
Nonexistence of global solutions to the Euler–Poisson–Darboux equation in Rn: Subcritical case5
Vector-valued Sobolev spaces based on Banach function spaces5
Existence results for thek-Hessian type system with the gradients via5
Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid5
Energy conservation of the compressible Euler equations and the Navier–Stokes equations via the gradient5
Bubbling solutions of mixed type for a general non-Abelian Chern–Simons–Higgs system of rank 2 over a torus5
On the uniqueness of solutions to the isotropic L<5
Boundedness for solutions of weighted forward–backward parabolic equations without assuming higher regularity5
Quantitative estimates for fractional Sobolev mappings in rational homotopy groups5
Norm inflation with infinite loss of regularity at general initial data for nonlinear wave equations in Wiener amalgam and Fourier amalgam spaces5
Asymptotic profile of ground states for the Schrödinger–Poisson–Slater equation5
A partially overdetermined problem for the p-Laplace equation in a con5
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation5
Differentiability of monotone maps related to non quadratic costs5
Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation5
A log-weighted Moser inequality on the plane5
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
Boundary estimates for solutions of the Monge–Ampère equation satisfying Dirichlet–Neumann type conditions in annular domains5
Improved local existence result of the Green–Naghdi equations with the Coriolis effect5
Existence result for a two-dimensional system of conservation laws with unilateral constraints5
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group5
Almost minimizers to a transmission problem for (p5
Korevaar–Schoen p-energies and their 5
Convergence rate of solutions towards spiky steady state for the Keller–Segel system with logarithmic sensitivity5
Propagation for KPP bulk-surface systems in a general cylindrical domain5
On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian5
Interface logistic problems: Large diffusion and singular perturbation results5
Gradient estimates for weighted harmonic function with Dirichlet boundary condition5
One-dimensional symmetry of solutions to non-cooperative elliptic systems5
Decay of strong solution for the compressible Navier–Stokes equations with large initial data4
Uniqueness for quasilinear elliptic problems in a two-component domain with <4
A fully nonlinear locally constrained anisotropic curvature flow4
Weak solutions for steady, fully inhomogeneous generalized Navier-Stokes equations4
Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold4
Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions4
Static Black Hole Uniqueness for nonpositive masses4
Some rigidity properties for λ-self-expanders4
Minimizers for a one-dimensional interaction energy4
On absolute continuity of invariant measures associated with a piecewise-deterministic Markov process with random switching between flows4
C1,4
A regularity result for the Fokker–Planck equation with non-smooth drift and diffusion4
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions4
Well-posedness and inverse problems for semilinear nonlocal wave equations4
Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics4
Cherrier–Escobar problem for the elliptic Schrödinger-to-Neumann map4
Minimization of a Ginzburg–Landau functional with mean curvature operator in 1-D4
A semigroup approach to a reaction–diffusion system with cross-diffusion4
Quantitative stability estimates for a two-phase Serrin-type overdetermined problem4
Editorial Board4
A classical S4
The global existence of generalized solutions to the time-dependent Thomas–Fermi equations4
Boundary value problems for Choquard equations4
Stochastic inviscid Leray-α model with transport noise: Convergence ra4
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces4
Homogenization in perforated domains at the critical scale4
Hadamard’s inequality in the mean4
Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev–Petviashvili–Burgers equation in 2D4
Fractional Hardy–Rellich inequalities via integration by parts4
A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary4
A Blaschke–Petkantschin formula for linear and affine subspaces with application to intersection probabilities4
Boundary Hölder regularity for a class of fully nonlinear elliptic partial differential equations4
Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities4
Uniqueness and stability of forced waves for the Fisher–KPP equation in a shifting environment4
Embedded Delaunay tori and their Willmore energy4
On fractional Poincaré inequality for unbounded domains with finite ball conditions: Counter example4
Critical boundary value problems in the upper half-space4
Existence for fractional (p,4
A necessary condition for Sobolev extension domains in higher dimensions3
Traveling wave solutions for two species competitive chemotaxis systems3
Corrigendum to: “Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint” [Nonlinear Anal. 220 (2022) 112851]3
Continuity results for degenerate diffusion equations with 3
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows3
Editorial Board3
Global dynamics of stochastic tidal equations3
A free boundary problem in Orlicz spaces related to mean curvature3
List’s flow with integral curvature bounds on complete noncompact Riemannian manifolds3
Series expansion of weighted Finsler–Kato–Hardy inequalities3
Standing waves for Schrödinger equations with Kato–Rellich potentials3
Elliptic Hamilton–Jacobi systems and Lane–Emden Hardy–Hénon equations3
Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms3
Measure-valued solutions of scalar hyperbolic conservation laws, Part 1: Existence and time evolution of singular parts3
Density and non-density ofC3
Local Lipschitz continuity for p,q3
Thin film equations with nonlinear deterministic and stochastic perturbations3
Editorial Board3
Injectivity of polynomial maps and foliations in the real plane3
Thermostatted kinetic theory in measure spaces: Well-posedness3
The Korteweg–de Vries equation on the half-line with Robin and Neumann data in low regularity spaces3
Magnetic curves in the generalized Heisenberg group3
Hopf bifurcation in a diffusive population system with nonlocal delay effect3
Absence of Lavrentiev’s gap for anisotropic functionals3
The very singular solution for the Anisotropic Fast Diffusion Equation and its consequences3
Semilinear effectively damped wave models with general relaxation function3
Bifurcation of double eigenvalues for Aharonov–Bohm operators with a moving pole3
Existence of minimizers for a generalized liquid drop model with fractional perimeter3
Bernstein–Remez inequality for algebraic functions: A topological approach3
Pogorelov estimates for a class of fully nonlinear equations3
Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites3
Quantitative estimates for parabolic optimal control problems under L3
Maximum principles, Liouville theorem and symmetry results for the fractional g3
Hypergraph p-Laplacian regularization on point clouds for data inte3
Liouville-type results for some quasilinear anisotropic elliptic equations3
k-convex hypersurfaces with prescribed Weingarten curvature in warped 3
The Nonlinear Schrödinger–Airy equation in weighted Sobolev spaces3
Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint3
Unconditional flocking for weak solutions to self-organized systems of Euler-type with all-to-all interaction kernel3
L3
The anisotropic convexity of domains and the boundary estimate for two Monge–Ampère equations3
Dissociation limit in Kohn–Sham density functional theory3
Monotone sets and local minimizers for the perimeter in Carnot groups3
Standing waves for 6-superlinear Chern–Simons–Schrödinger systems with indefinite potentials3
Jacobi fields in optimal control: Morse and Maslov indices3
Hyperbolic circle packings and total geodesic curvatures on surfaces with boundary3
Parabolic weighted Sobolev–Poincaré type inequalities3
Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation3
Stationary soap films with vertical potentials3
Lagrangian solutions to the transport–Stokes system3
0.069766998291016