Nonlinear Analysis-Theory Methods & Applications

Article	Citations
Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent	31
Scattering of radial solutions to the inhomogeneous nonlinear Schrödinger equation	29
Anisotropic equations with indefinite potential and competing nonlinearities	26
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems	23
Existence for fractional (p,	21
Local Lipschitz continuity for p,q	21
Abstract Cauchy problems for the generalized fractional calculus	20
Inverse problems for fractional semilinear elliptic equations	19
Interior and up to the boundary regularity for the fractional g-Laplac	18
Infinitely many solutions for double phase problem with unbounded potential in	18
B 1 classes of De Giorgi–Ladyzhenskaya–Ural’tsev	18
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions	18
Isoperimetric sets in spaces with lower bounds on the Ricci curvature	17
Asymptotic behavior for a dissipative nonlinear Schrödinger equation	15
Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing	15
Existence and concentration of ground state solutions for Choquard equations involving critical growth and steep potential well	15
Nonlocal differential equations with concave coefficients of convolution type	14
Saddle solutions for the Choquard equation II	13
Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces	13
Quasiconvexity in the fractional calculus of variations: Characterization of lower semicontinuity and relaxation	13
Global existence and stabilization in a forager–exploiter model with general logistic sources	13
Interplay effects on blow-up of weakly coupled systems for semilinear wave equations with general nonlinear memory terms	12
Ergodic behavior of control and mean field games problems depending on acceleration	11
Blow-up phenomena in a parabolic–elliptic–elliptic attraction–repulsion chemotaxis system with superlinear logistic degradation	11
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation	11

Applications of cone structures to the anisotropic rheonomic Huygens’ principle	11
Stationary soap films with vertical potentials	11
Exponential convergence in entropy and Wasserstein for McKean–Vlasov SDEs	11
Singular limits with vanishing viscosity for nonlocal conservation laws	10
A Serrin-type problem with partial knowledge of the domain	10
Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces	10
Convergence of elastic flows of curves into manifolds	10
Existence and weak–strong uniqueness of solutions to the Cahn–Hilliard–Navier–Stokes–Darcy system in superposed free flow and porous media	10
Lavrentiev gap for some classes of generalized Orlicz functions	10
Relating notions of convergence in geometric analysis	10
A measure theoretical approach to the mean-field maximum principle for training NeurODEs	10
Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances	10
Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models	10
Large mass minimizers for isoperimetric problems with integrable nonlocal potentials	10
On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility	9
Well-posedness and regularity for distribution dependent SPDEs with singular drifts	9
Lorentz improving estimates for the p-Laplace equations with mixed da	9
Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions	9
Stochastic Allen–Cahn equation with logarithmic potential	9
Embeddings of function spaces via the Caffarelli–Silvestre extension, capacities and Wolff potentials	8
Higher order evolution inequalities with nonlinear convolution terms	8
Compactness for conformal scalar-flat metrics on umbilic boundary manifolds	8
Can a population survive in a shifting environment using non-local dispersion?	8
Optimal well-posedness and forward self-similar solution for the Hardy–Hénon parabolic equation in critical weighted Lebesgue spaces	8
A test function method for evolution equations with fractional powers of the Laplace operator	8
Maximum principles, Liouville theorem and symmetry results for the fractional g	8
Estimates on translations and Taylor expansions in fractional Sobolev spaces	8
Convergence of some Mean Field Games systems to aggregation and flocking models	8
On complete gradient Schouten solitons	8
Fully nontrivial solutions to elliptic systems with mixed couplings	8
Regularity of flat free boundaries for a p(<	8
Nonlocal cross-diffusion systems for multi-species populations and networks	8
Hopf’s lemma for viscosity solutions to a class of non-local equations with applications	8
Coupled elliptic systems in R	7
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups	7
Classical solutions for fractional porous medium flow	7
On the geometry of Einstein-type structures	7
On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint	7
On a zero-mass (N,q<	7
Magnetic curves in the generalized Heisenberg group	7
Gradient Hölder regularity for degenerate parabolic systems	7
Quantitative estimates for parabolic optimal control problems under L	7
Uncertainty quantification for the random viscous Burgers’ partial differential equation by using the differential transform method	7
On optimal C1,	7
The volume-preserving Willmore flow	7
Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type	7
Separate variable blow-up patterns for a reaction–diffusion equation with critical weighted reaction	7
Good geodesics satisfying the timelike curvature-dimension condition	6
Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems	6
Quantitative stability estimates for a two-phase Serrin-type overdetermined problem	6

Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials	6
Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori	6
Unsteady non-Newtonian fluid flows with boundary conditions of friction type: The case of shear thickening fluids	6
The critical exponent for semilinear σ-evolution equations with a str	6
Continuity results for degenerate diffusion equations with	6
Necessary and sufficient conditions for the existence of entire subsolutions to	6
Refined probabilistic global well-posedness for the weakly dispersive NLS	6
Ground state in the energy super-critical Gross–Pitaevskii equation with a harmonic potential	6
Minimisers of a general Riesz-type problem	6
Stability of solutions for nonlocal problems	6
Remarks on nonlinear Schrödinger equations arising on rotational Bose–Einstein condensates	6
Fractional total variation denoising model withL	6
Hopf bifurcation of a delayed reaction–diffusion model with advection term	6
On the fine regularity of the singular set in the nonlinear obstacle problem	6
Global existence for semilinear wave equations with scaling invariant damping in 3-D	6
Continuity and Harnack inequalities for local minimizers of non uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions	6
On the practical stability with respect toh-manifolds of hybrid Kolmog	6
Multiplicity and concentration of nontrivial solutions for fractional Schrödinger–Poisson system involving critical growth	6
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group	6
Density and non-density ofC	5
On grand Sobolev spaces and pointwise description of Banach function spaces	5
Existence of weak solutions to time-dependent mean-field games	5
Sobolev norms explosion for the cubic NLS on irrational tori	5
Nondecreasing analytic radius for the KdV equation with a weakly damping	5
Concentration phenomena on Y-shaped metric graph for the Gierer–Mei	5
The planar Least Gradient problem in convex domains, the case of continuous datum	5
The Sobolev embedding constant on Lie groups	5
Well-posedness and large time decay for the 3D micropolar equations with only velocity dissipation	5
Growing solutions of the fractionalp-Laplacian equation in the Fast D	5
Gradient estimates for weighted harmonic function with Dirichlet boundary condition	5
Local existence of analytic sharp fronts for singular SQG	5
On the analytic Birkhoff normal form of the Benjamin–Ono equation and applications	5
Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group	5
Dynamics of nonlocal and local discrete Ginzburg–Landau equations: Global attractors and their congruence	5
Boltzmann to Landau from the gradient flow perspective	5
Existence of solutions to elliptic problems with fractional p-Laplacian and multiple critical nonlinearities in the entire space5
The role of planar symmetry and of symmetry constraints in the proof of existence of solutions to some scalar field equations	5
Bubble solutions for Hénon type equation with nearly critical exponent in	5
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces	5
A note on higher order fractional Hardy–Sobolev inequalities	5
Uniqueness and regularity of the fractional harmonic gradient flow in	5
The Korteweg–de Vries equation on the half-line with Robin and Neumann data in low regularity spaces	5
A singular limit of a family of variational evolutions for a brittle elastic bi-layer	5
Exponential stability of fast driven systems, with an application to celestial mechanics	5
On the mean value property of fractional harmonic functions	5
Existence of solutions to nonlinear parabolic equations via majorant integral kernel	5
A fully nonlinear locally constrained anisotropic curvature flow	5
Boundedness of functions in fractional Orlicz–Sobolev spaces	5
Minimizers for a one-dimensional interaction energy	5
Large time behavior in a quasilinear chemotaxis model with indirect signal absorption	5
On the obstacle problem for fractional semilinear wave equations	5
Positive solutions of indefinite logistic growth models with flux-saturated diffusion	5
Algebraic multiplicity and topological degree for Fredholm operators	5
TheBω	5
Liouville property and existence of entire solutions of Hessian equations	5
Sharp pointwise estimates for weighted critical p-Laplace equations	5
An introduction to multiscale techniques in the theory of Anderson localization, Part I	5
Comparison results for solutions to the anisotropic Laplacian with Robin boundary conditions	5
Asymptotic expansion at infinity of solutions of Monge–Ampère type equations	5
Blow-up and global existence for solutions to the porous medium equation with reaction and fast decaying density	5
Global endpoint Strichartz estimates for Schrödinger equations on the cylinder	5
Bifurcation from infinity of the Schrödinger equation via invariant manifolds	5
Parabolic approaches to curvature equations	5
Corrigendum to “Homogenization of elliptic problems involving interfaces and singular data” [Nonlinear Anal. 189 (2019) 111562]	5
Quantitative stability for the Heisenberg–Pauli–Weyl inequality	4
Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals	4
Cosh gradient systems and tilting	4
On the nonlinear Schrödinger equation on the Poincaré ball model	4
On local Lipschitz regularity for quasilinear equations in the Heisenberg group	4
Stochastic solutions to evolution equations of non-local branching processes	4
An inverse problem for a quasilinear convection–diffusion equation	4
Finite time/Infinite time blow-up behaviors for the inhomogeneous nonlinear Schrödinger equation	4
On the focusing energy-critical inhomogeneous NLS: Weighted space approach	4
Spectral stability of the Steklov problem	4
Critical tori for mean curvature energies in Killing submersions	4
Semilinear elliptic Schrödinger equations involving singular potentials and source terms	4
Existence of bound and ground states for an elliptic system with double criticality	4
Asymptotic properties of an optimal principal eigenvalue with spherical weight and Dirichlet boundary conditions	4
Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinite-dimensional tori	4
Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source	4

Removable sets andLp	4
A monotonicity property of the p-torsional rigidity	4
Existence and multiplicity results for a class of semilinear elliptic equations	4
An extension theorem from connected sets and homogenization of non-local functionals	4
Existence and concentration of ground state solutions for a class of nonlocal problem in	4
On nonlocal Hénon type problems with the fractional Laplacian	4
Local well posedness for a system of quasilinear PDEs modelling suspension bridges	4
Critical boundary value problems in the upper half-space	4
Strict convergence with equibounded area and minimal completely vertical liftings	4
Anisotropic fast diffusion equations	4
Robust nonlocal trace spaces and Neumann problems	4
Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation	4
Gradient estimates for Orlicz double phase problems with variable exponents	4
Minimization problem associated with an improved Hardy–Sobolev type inequality	4
Nonuniqueness in law for stochastic hypodissipative Navier–Stokes equations	4
Dimension of divergence set of the wave equation	4
Embedded Delaunay tori and their Willmore energy	4
Asymptotic profile of ground states for the Schrödinger–Poisson–Slater equation	4
Regularity results for a class of doubly nonlinear very singular parabolic equations	4
Boundedness of oscillation and variation of semigroups associated with Bessel Schrödinger operators	4
Criterion for the functional dissipativity of second order differential operators with complex coefficients	4
On the nonlinear Dysthe equation	4
Asymptotic behaviors for the Jordan–Moore–Gibson–Thompson equation in the viscous case	4
Lusternik–Schnirelman and Morse Theory for the Van der Waals–Cahn–Hilliard equation with volume constraint	4
The asymptotic behavior of viscosity solutions of Monge–Ampère equations in half space	3
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows	3
Jacobi fields in optimal control: Morse and Maslov indices	3
Embeddings of the fractional Sobolev spaces on metric-measure spaces	3
A spectral decomposition for flows on uniform spaces	3
Exponential ergodicity in the bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching between flows	3
A version of Calderón–Mityagin theorem for the class of rearrangement invariant groups	3
Sign-changing bubble tower solutions for a critical fractional problem	3
The obstacle problem for the Monge–Ampère equation with the lower obstacle	3
Regularizing effect of homogeneous evolution equations with perturbation	3
W1,	3
Properties of positive solutions to nonlocal problems with negative exponents in unbounded domains	3
Maximal estimates for an oscillatory operator	3
On the extension of Muckenhoupt weights in metric spaces	3
Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials	3
Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model	3
Existence of solutions of degenerate parabolic equations with inhomogeneous density and growing data on manifolds	3
Decay of strong solution for the compressible Navier–Stokes equations with large initial data	3
Singular solutions to k-Hessian equations with fast-growing nonlineari	3
A fixed point index approach to Krasnosel’skiĭ-Precup fixed point theorem in cones and applications	3
Homogenisation of local colloid evolution induced by reaction and diffusion	3
Gradient estimates for a general type of nonlinear parabolic equations under geometric conditions and related problems	3
Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data	3
On a fully parabolic chemotaxis system with nonlocal growth term	3
Traveling wave solutions for two species competitive chemotaxis systems	3
An example of chaotic dynamics for the motion of a charged particle in a magnetic field	3
Zakharov system in two space dimensions	3
Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators	3
A short proof of quantitative stability for the Heisenberg–Pauli–Weyl inequality	3
Dynamics of the nonlinear Hartree equation with a focusing and defocusing perturbation	3
Uniqueness of stationary states for singular Keller–Segel type models	3
Combinatorial p-th Ricci flows on surfaces	3
Inner and outer smooth approximation of convex hypersurfaces. When is it possible?	3
Uniqueness for quasilinear elliptic problems in a two-component domain with <	3
Time geodesics on a slippery slope under gravitational wind	3
A model in one-dimensional thermoelasticity	3
Global classical solvability in a food metric chemotaxis system under zero boundary conditions at infinity	3
Global gradient estimates for very singular quasilinear elliptic equations with non-divergence data	3
Curved thin-film limits of chiral Dirichlet energies	3
Existence of solutions for hybrid systems of differential equations under exogenous information with discontinuous source term	3
Uniqueness and asymptotic behavior of positive solution of quasilinear elliptic equations with Hardy potential	3
An inverse problem for the minimal surface equation	3
Decay for the equations of compressible flow of nematic liquid crystals	3
The thin obstacle problem for some variable coefficient degenerate elliptic operators	3
Lipschitz minimizers for a class of integral functionals under the bounded slope condition	3
Nonlinear smoothing and unconditional uniqueness for the Benjamin–Ono equation in weighted Sobolev spaces	3
Domain-size effects on boundary layers of a nonlocal sinh–Gordon equation	3
Fractional KPZ equations with critical growth in the gradient respect to Hardy potential	3
Interior pointwise C2	3
Analysis of a thermodynamically consistent Navier–Stokes–Cahn–Hilliard model	3
Minimal hypersurfaces with low index in the real projective space	3
On the Kolmogorov theorem for some infinite-dimensional Hamiltonian systems of short range	3
The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis	3
A comparison principle for the Lane–Emden equation and applications to geometric estimates	3
Porous medium equation and cross-diffusion systems as limit of nonlocal interaction	3
Criticality via first order development of the period constants	3
Weak and strong averaging principle for a stochastic coupled fast–slow atmosphere–ocean model with non-Lipschitz Lévy noise	3
Invariant probability measures for path-dependent random diffusions	3
From the Peierls–Nabarro model to the equation of motion of the dislocation continuum	3
Quasi-greedy bases for sequences with gaps	3
The initial boundary value problem for second order traffic flow models with vacuum: Existence of entropy weak solutions	3
Analysis of a quasi-variational contact problem arising in thermoelasticity	3
On the higher derivatives estimate of the surface growth equation	3
Geodesic completeness of pseudo and holomorphic-Riemannian metrics on Lie groups	3
The Cauchy–Dirichlet problem for the fast diffusion equation on bounded domains	3
Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts	3
Low regularity theory for the inverse fractional conductivity problem	3
Homogenization of discrete thin structures	3
Limit cycles for some families of smooth and non-smooth planar systems	3
Inhomogeneous cancellation conditions and Calderón–Zygmund type operators on <	3
Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods	3