Nonlinear Analysis-Theory Methods & Applications

Article	Citations
Constant sign solutions for double phase problems with superlinear nonlinearity	72
Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity	37
The fractional Calderón problem: Low regularity and stability	34
A variational approach to parabolic equations under general and p	33
Existence of solution to Korteweg–de Vries equation in a non-parabolic domain	29
Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity	28
Regularity for double phase problems under additional integrability assumptions	27
Scattering of radial solutions to the inhomogeneous nonlinear Schrödinger equation	27
Radial symmetry of solution for fractionalp−	26
On the energy equality for the 3D Navier–Stokes equations	26
Semilinear elliptic equations for the fractional Laplacian with Hardy potential	25
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy	25
Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent	24
Sharp commutator estimates via harmonic extensions	24
Anisotropic equations with indefinite potential and competing nonlinearities	22
Concentration phenomena for a class of fractional Kirchhoff equations in	20
Gradient estimates for problems with Orlicz growth	20
Existence for fractional (p,	19
Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems	18
Campanato–Morrey spaces for the double phase functionals with variable exponents	18
On the critical Schrödinger–Bopp–Podolsky system with general nonlinearities	17
The evolution fractional p-Laplacian equation in 17
Abstract Cauchy problems for the generalized fractional calculus	15
Turbulent flows as generalized Kelvin–Voigt materials: Modeling and analysis	15
Sign-changing solutions for nonlinear Schrödinger–Poisson systems with subquadratic or quadratic growth at infinity	15

B 1 classes of De Giorgi–Ladyzhenskaya–Ural’tsev	14
Infinitely many solutions for double phase problem with unbounded potential in	14
Local Lipschitz continuity for p,q	14
Inverse problems for fractional semilinear elliptic equations	14
Developments and perspectives in Nonlinear Potential Theory	14
A nonlinear parabolic problem with singular terms and nonregular data	13
Regularity results for a class of non-differentiable obstacle problems	13
Asymptotic behavior for a dissipative nonlinear Schrödinger equation	13
Saddle solutions for the Choquard equation II	13
Infinitely many solutions for Kirchhoff problems with lack of compactness	12
On generalized principal eigenvalues of nonlocal operators witha drift	12
Multiplicity and concentration results for fractional Choquard equations: Doubly critical case	12
Isoperimetric sets in spaces with lower bounds on the Ricci curvature	12
Boundedness and convergence of constant equilibria in a two-species chemotaxis-competition system with loop	12
Multiple solutions with sign information for a (p	12
Global existence and stabilization in a forager–exploiter model with general logistic sources	12
Inverse problems for a fractional conductivity equation	12
Quasiconvexity in the fractional calculus of variations: Characterization of lower semicontinuity and relaxation	11
Existence and concentration of ground state solutions for Choquard equations involving critical growth and steep potential well	11
Interior and up to the boundary regularity for the fractional g-Laplac	11
Local compactness and nonvanishing for weakly singular nonlocal quadratic forms	11
Maximum principles for some quasilinear elliptic systems	11
Ground states and non-existence results for Choquard type equations with lower critical exponent and indefinite potentials	11
Analysis of positive radial solutions for singular superlinear p-Lapl	11
Pairs of positive radial solutions for a Minkowski-curvature Neumann problem with indefinite weight	11
Singular solutions for coercive quasilinear elliptic inequalities with nonlocal terms	11
Concentration-Compactness principle for Trudinger–Moser inequalities with logarithmic weights and their applications	11
Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights	10
On compactness results of Lions–Peetre type for bilinear operators	10
Existence of solution for a class of nonvariational Kirchhoff type problem via dynamical methods	10
Ground state solutions for a Choquard equation with lower critical exponent and local nonlinear perturbation	10
Existence and weak–strong uniqueness of solutions to the Cahn–Hilliard–Navier–Stokes–Darcy system in superposed free flow and porous media	10
Interplay effects on blow-up of weakly coupled systems for semilinear wave equations with general nonlinear memory terms	10
Spectrum of the fractional p-Laplacian in	10
Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces	10
Applications of cone structures to the anisotropic rheonomic Huygens’ principle	10
A space-fractional Stefan problem	10
Nonlocal differential equations with concave coefficients of convolution type	9
Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces	9
Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing	9
Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance	9
Local regularity for quasi-linear parabolic equations in non-divergence form	9
Blow-up phenomena in a parabolic–elliptic–elliptic attraction–repulsion chemotaxis system with superlinear logistic degradation	9
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions	9
Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth	9
Relating notions of convergence in geometric analysis	9
Neumann conditions for the higher order s-fractional	9
Exponential stability of a class of nonlinear systems via fixed point theory	9
Ground state solutions for fractional Choquard equations involving upper critical exponent	9
Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces	9

Hs,	9
Nonlinear Robin problems with indefinite potential	9
Homoclinic solutions for fractional discrete Laplacian equations	9
Nondegeneracy of solutions for a critical Hartree equation	8
Existence of multiple semiclassical solutions for a critical Choquard equation with indefinite potential	8
New directions in harmonic analysis on L	8
Hopf’s lemma for viscosity solutions to a class of non-local equations with applications	8
Nodal solutions for the Schrödinger–Poisson equations with convolution terms	8
Very singular solutions for linear Dirichlet problems with singular convection terms	8
Large mass minimizers for isoperimetric problems with integrable nonlocal potentials	8
A measure theoretical approach to the mean-field maximum principle for training NeurODEs	8
Fractional elliptic problem in exterior domains with nonlocal Neumann condition	8
Positive solutions for a Kirchhoff-type problem involving multiple competitive potentials and critical Sobolev exponent	8
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation	8
Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions	8
Fully nontrivial solutions to elliptic systems with mixed couplings	8
Blow-up and strong instability of standing waves for the NLS-δequation	8
Existence results for elliptic problems with gradient terms via a priori estimates	8
Lavrentiev gap for some classes of generalized Orlicz functions	8
Lorentz improving estimates for the p-Laplace equations with mixed da	8
Well-posedness and regularity for distribution dependent SPDEs with singular drifts	8
Gradient estimates for nonlinear elliptic double obstacle problems	8
On critical Klein–Gordon–Maxwell systems with super-linear nonlinearities	8
Higher order evolution inequalities with nonlinear convolution terms	8
Stationary soap films with vertical potentials	7
Dynamics of a family of Lotka–Volterra systems in 7
The sliding method for the nonlocal Monge–Ampère operator	7
Compactness for conformal scalar-flat metrics on umbilic boundary manifolds	7
Interior and boundary higher integrability of very weak solutions for quasilinear parabolic equations with variable exponents	7
Classical solutions for fractional porous medium flow	7
Bound state solutions for the supercritical fractional Schrödinger equation	7
A higher dispersion KdV equation on the line	7
Calderón–Zygmund estimates for general elliptic operators with double phase	7
A test function method for evolution equations with fractional powers of the Laplace operator	7
Can a population survive in a shifting environment using non-local dispersion?	7
Positive solutions for a system of second-order quasilinear boundary value problems	7
Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances	7
Well-posedness of a highly nonlinear shallow water equation on the circle	7
Well-posedness and ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces	7
Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models	7
On a mean field optimal control problem	7
Separate variable blow-up patterns for a reaction–diffusion equation with critical weighted reaction	7
Existence of solutions for Dirichlet elliptic problems with discontinuous nonlinearity	7
Ergodic behavior of control and mean field games problems depending on acceleration	7
Estimates on translations and Taylor expansions in fractional Sobolev spaces	7
Singular limits with vanishing viscosity for nonlocal conservation laws	7
Convergence of some Mean Field Games systems to aggregation and flocking models	7
A degenerate population system: Carleman estimates and controllability	7
The critical exponent for semilinear σ-evolution equations with a str	7
Nonlocal diffusion equations with dynamical boundary conditions	7
On the Shinbrot’s criteria for energy equality to Newtonian fluids: A simplified proof, and an extension of the range of application	6
Nonlocal cross-diffusion systems for multi-species populations and networks	6
On optimal C1,	6
Sharp threshold of global existence for nonlinear Schrödinger equation with partial confinement	6
On the Generalizations of the Kummer–Schwarz Equation	6
On the practical stability with respect toh-manifolds of hybrid Kolmog	6
Stochastic Allen–Cahn equation with logarithmic potential	6
A Serrin-type problem with partial knowledge of the domain	6
On a critical Kirchhoff-type problem	6
Exponential convergence in entropy and Wasserstein for McKean–Vlasov SDEs	6
A blow-up criterion for the inhomogeneous incompressible Euler equations	6
On short-time bilinear Strichartz estimates and applications to the Shrira equation	6
On the regularity of the ω-minima of	6
Maximum principles, Liouville theorem and symmetry results for the fractional g	6
Concentration phenomena on Y-shaped metric graph for the Gierer–Mei	6
A note on finite time blowup for dissipative Klein–Gordon equation	6
Further study on periodic solutions of elliptic equations with a fractional Laplacian	6
Noncoercive nonlinear Dirichlet problems in unbounded domains	6
Adams inequalities for Riesz subcritical potentials	6
Semilinear Dirichlet problem for the fractional Laplacian	6
Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case	6
On the geometry of Einstein-type structures	6
Mosco convergence of nonlocal to local quadratic forms	6
Continuity results for degenerate diffusion equations with	6
On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint	6
Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions	6
Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems	6
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups	6
Ground state in the energy super-critical Gross–Pitaevskii equation with a harmonic potential	6
Global existence for semilinear wave equations with scaling invariant damping in 3-D	6

A refined criterion and lower bounds for the blow-up time in a parabolic–elliptic chemotaxis system with nonlinear diffusion	6
The volume-preserving Willmore flow	6
Good geodesics satisfying the timelike curvature-dimension condition	6
Limit cycles bifurcating from piecewise quadratic systems separated by a straight line	6
Hopf bifurcation of a delayed reaction–diffusion model with advection term	6
Multiplicity and concentration of nontrivial solutions for fractional Schrödinger–Poisson system involving critical growth	6
Uncertainty quantification for the random viscous Burgers’ partial differential equation by using the differential transform method	6
Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori	5
Parabolic approaches to curvature equations	5
Subdifferentials of marginal functions of parametric bang–bang control problems	5
Sharp Hardy–Trudinger–Moser inequalities in any N-dimensional hyperbo	5
On the mean value property of fractional harmonic functions	5
Quantitative estimates for parabolic optimal control problems under L	5
Existence and concentration of ground state solutions for a class of Kirchhoff-type problems	5
Regularity results for a class of doubly nonlinear very singular parabolic equations	5
Bellman functions and dimension free L	5
The Korteweg–de Vries equation on the half-line with Robin and Neumann data in low regularity spaces	5
Sobolev norms explosion for the cubic NLS on irrational tori	5
Liouville property and existence of entire solutions of Hessian equations	5
On the fine regularity of the singular set in the nonlinear obstacle problem	5
Magnetic curves in the generalized Heisenberg group	5
The number of positive solutions affected by the weight function to Kirchhoff type equations in high dimensions	5
Embeddings of function spaces via the Caffarelli–Silvestre extension, capacities and Wolff potentials	5
Growing solutions of the fractionalp-Laplacian equation in the Fast D	5
Fixed point index theory for decomposable multivalued maps and applications to discontinuous	5
Classification of positive solutions for an integral system on the half space	5
Existence of weak solutions to time-dependent mean-field games	5
Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group	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
Sobolev inequalities for the symmetric gradient in arbitrary domains	5
Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type	5
Existence of semiclassical solutions for some critical Schrödinger–Poisson equations with potentials	5
Singular Trudinger–Moser inequality and fractionalp-Laplace equations	5
Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity	5
Blow-up and global existence for solutions to the porous medium equation with reaction and fast decaying density	5
Dynamics of nonlocal and local discrete Ginzburg–Landau equations: Global attractors and their congruence	5
Minimisers of a general Riesz-type problem	5
Positive solutions of indefinite logistic growth models with flux-saturated diffusion	5
Optimal well-posedness and forward self-similar solution for the Hardy–Hénon parabolic equation in critical weighted Lebesgue spaces	5
Thin one-phase almost minimizers	5
On grand Sobolev spaces and pointwise description of Banach function spaces	5
On multiplicity of positive solutions for nonlocal equations with critical nonlinearity	5
Attractors for nonclassical diffusion equations with dynamic boundary conditions	5
Maximal commutators and commutators of potential operators in new vanishing Morrey spaces	5
An introduction to multiscale techniques in the theory of Anderson localization, Part I	5
Refined probabilistic global well-posedness for the weakly dispersive NLS	5
Regularity results for segregated configurations involving fractional Laplacian	5
On nonlocal Hénon type problems with the fractional Laplacian	4
On the nonlinear Schrödinger equation on the Poincaré ball model	4
Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces	4
Exponential stability of fast driven systems, with an application to celestial mechanics	4
Positive solutions for parametric singular Dirichlet(p	4
Sobolev regularity of polar fractional maximal functions	4
Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source	4
Differential inclusions involving oscillatory terms	4
Minimizers for a one-dimensional interaction energy	4
Bifurcation from infinity of the Schrödinger equation via invariant manifolds	4
Local existence of analytic sharp fronts for singular SQG	4
Necessary and sufficient conditions for the existence of entire subsolutions to	4
Corrigendum to “Homogenization of elliptic problems involving interfaces and singular data” [Nonlinear Anal. 189 (2019) 111562]	4
Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights	4
On the obstacle problem for fractional semilinear wave equations	4
On Parker instability under L2	4
The boundedness of commutators of multilinear Marcinkiewicz integral	4
On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility	4
Wolff’s inequality for intrinsic nonlinear potentials and quasilinear elliptic equations	4
Asymptotic expansion at infinity of solutions of Monge–Ampère type equations	4
A non-local in time telegraph equation	4
Comparison results for solutions to the anisotropic Laplacian with Robin boundary conditions	4
Gradient estimates for a nonlinear parabolic equation on smooth metric measure spaces with evolving metrics and potentials	4
Stability of solutions for nonlocal problems	4
Asymptotic behavior of solutions of nonautonomous neutral dynamical systems	4
Stochastic solutions to evolution equations of non-local branching processes	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
Summability of solutions of the Dirichlet problem for nonlinear elliptic equations with right-hand side in logarithmic classes close to	4
On a zero-mass (N,q<	4
Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces	4
Minimization problem associated with an improved Hardy–Sobolev type inequality	4
Quasilinear Schrödinger equations with singular and vanishing potentials involving exponential critical growth in	4
Cosh gradient systems and tilting	4
Limiting weak type behavior for multilinear fractional integrals	4
Algebraic multiplicity and topological degree for Fredholm operators	4
Multilinear theory of strongly singular Calderón–Zygmund operators and applications	4
Complete biconservative surfaces in the hyperbolic space H	4
Global phase portraits and bifurcation diagrams for Hamiltonian systems of linear plus quartic homogeneous polynomials symmetric with respect to the 4
Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent	4
Dimension of divergence set of the wave equation	4
Existence and multiplicity results for a class of semilinear elliptic equations	4
Localized nodal solutions of higher topological type for nonlinear Schrödinger–Poisson system	4
Regularity for fully nonlinear integro-differential operators with kernels of variable orders	4
Sharp pointwise estimates for weighted critical p-Laplace equations	4
A time-dependent obstacle problem in linearised elasticity	4
Coupled elliptic systems in R	4