Ground states for fractional Schrödinger equations with critical growth
From MaRDI portal
Publication:5404830
DOI10.1088/0951-7715/27/2/187zbMath1287.35027MaRDI QIDQ5404830
Publication date: 28 March 2014
Published in: Nonlinearity (Search for Journal in Brave)
Nonlinear elliptic equations (35J60) Existence of solutions for minimax problems (49J35) Fourier integral operators applied to PDEs (35S30)
Related Items (only showing first 100 items - show all)
Multiplicity and concentration of solutions to fractional anisotropic Schrödinger equations with exponential growth ⋮ On the number of concentrating solutions of a fractional Schrödinger-Poisson system with doubly critical growth ⋮ Ground state solution for a nonlinear fractional magnetic Schrödinger equation with indefinite potential ⋮ Existence of positive solutions for a class of critical fractional Schrödinger equations with potential vanishing at infinity ⋮ Two nontrivial solutions for a nonhomogeneous fractional Schrödinger-Poisson equation in \(\mathbb{R}^3\) ⋮ Existence of nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical nonlinearity ⋮ Existence of the non-constant steady states to a fractional diffusion predator-prey system including Holling type-II functional response ⋮ Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials ⋮ Analysis of a Lévy-diffusion Leslie-gower predator-prey model with nonmonotonic functional response ⋮ Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent ⋮ Ground states for fractional Schrödinger equations involving a critical nonlinearity ⋮ Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity ⋮ Bound state solutions for fractional Schrödinger-Poisson systems ⋮ Multiplicity and concentration results for generalized quasilinear Schrödinger equations with nonlocal term ⋮ Positive or sign-changing solutions for a critical semilinear nonlocal equation ⋮ Ground states for fractional Schrödinger equations with electromagnetic fields and critical growth ⋮ Ground state solutions of Nehari-Pohozaev type for a fractional Schrödinger-Poisson system with critical growth ⋮ The existence and multiplicity of solutions of a fractional Schrödinger-Poisson system with critical growth ⋮ On a class of nonlocal Schrödinger equations with exponential growth ⋮ Unnamed Item ⋮ Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in ℝN ⋮ Existence, nonexistence, and multiple results for the fractional \(p\)-Kirchhoff-type equation in \(\mathbb R^N\) ⋮ Multiplicity and concentration of solutions to a fractional p-Laplace problem with exponential growth ⋮ Concentration phenomena for critical fractional Schrödinger systems ⋮ Existence of weak solutions for a class of fractional Schrödinger equations with periodic potential ⋮ The concentration behavior of ground state solutions for a fractional Schrödinger-Poisson system ⋮ Multiple solutions for a fractional nonlinear Schrödinger equation with local potential ⋮ Unnamed Item ⋮ Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth ⋮ Ground state solutions for the fractional Schrödinger-Poisson systems involving critical growth in \( \mathbb{R} ^{3} \) ⋮ Positive bound states for fractional Schrödinger-Poisson system with critical exponent ⋮ On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions ⋮ Ground states for fractional Schrödinger equations involving critical or supercritical exponent ⋮ Regularization technique for an inverse space-fractional backward heat conduction problem ⋮ Ground state solutions for the periodic fractional Schrödinger-Poisson systems with critical Sobolev exponent ⋮ Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity ⋮ Ground state solutions of Schrödinger system with fractional \(p\)-Laplacian ⋮ Fractional NLS equations with magnetic field, critical frequency and critical growth ⋮ Fractional Schrödinger equations involving potential vanishing at infinity and supercritical exponents ⋮ Existence and concentration of positive solutions for fractional nonlinear Schrödinger equation with critical growth ⋮ Ground state solutions for a class of nonlinear fractional Schrödinger-Poisson systems with super-quadratic nonlinearity ⋮ Soliton solutions for fractional Schrödinger equations ⋮ Positive solutions with high energy for fractional Schrödinger equations ⋮ Multiplicity of semiclassical solutions for fractional Choquard equations with critical growth ⋮ Semi-classical solutions for generalized quasilinear Schrödinger equations with nonlocal term and upper critical exponent ⋮ Nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical growth ⋮ Radially symmetric sign-definite solutions for a class of nonlocal Schrödinger equations ⋮ Existence results for a fractional Schrödinger–Poisson equation with concave–convex nonlinearity in ℝ3 ⋮ On the fractional Schrödinger equations with critical nonlinearity ⋮ Existence and multiplicity of solutions for a fractional Schrödinger-Poisson system with subcritical or critical growth ⋮ On a fractional Schrödinger equation with periodic potential ⋮ Existence of multiple solutions for nonhomogeneous Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian with sign-changing potential ⋮ EXISTENCE OF THE GLOBAL SMOOTH SOLUTION TO A FRACTIONAL NONLINEAR SCHRÖDINGER SYSTEM IN ATOMIC BOSE-EINSTEIN CONDENSATES ⋮ Existence of ground state solutions for a class of nonlinear fractional Schrödinger–Poisson systems with super-quadratic nonlinearity ⋮ Existence of solutions for critical fractional Kirchhoff problems ⋮ Existence, multiplicity, and concentration of solutions for generalized quasilinear Schrödinger equations with critical growth ⋮ Ground state solution and nodal solution for fractional nonlinear Schrödinger equation with indefinite potential ⋮ Infinitely many weak solutions for a fractional Schrödinger equation ⋮ The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem ⋮ Concentration behavior of solutions for fractional Schrödinger equations involving critical exponent ⋮ Existence of solutions for fractional Schrodinger equation with asymptotica- lly periodic terms ⋮ Infinitely many small energy solutions for fractional coupled Schrodinger system with critical growth ⋮ Existence of ground state solutions of Nehari-Pohozaev type for fractional Schrödinger-Poisson systems with a general potential ⋮ On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity ⋮ Ground states for fractional Schrödinger equations with critical growth ⋮ Multiplicity and concentration of solutions to a fractional \((p,p_1)\)-Laplace problem with exponential growth ⋮ Critical fractional \(p\)-Laplacian problems with possibly vanishing potentials ⋮ Concentration-compactness for singular nonlocal Schrödinger equations with oscillatory nonlinearities ⋮ Existence and multiplicity of positive solutions for fractional Schrödinger equations with critical growth ⋮ Positive ground state solutions for quasicritical the fractional Klein–Gordon–Maxwell system with potential vanishing at infinity ⋮ Solutions of the fractional Schrödinger equation with a sign-changing nonlinearity ⋮ A critical nonlinear elliptic equation with nonlocal regional diffusion ⋮ New existence of multiple solutions for nonhomogeneous Schrödinger-Kirchhoff problems involving the fractional \(p\)-Laplacian with sign-changing potential ⋮ Multiple solutions for a class of nonhomogeneous fractional Schrödinger equations in \(\mathbb{R}^{N}\) ⋮ Ground state of Kirchhoff type fractional Schrödinger equations with critical growth ⋮ Existence and multiplicity of solutions for the equation with nonlocal integrodifferential operator ⋮ Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity ⋮ (Super)critical nonlocal equations with periodic boundary conditions ⋮ Multiplicity of semiclassical states for fractional Schrödinger equations with critical frequency ⋮ Concentrating solutions for a class of nonlinear fractional Schrödinger equations in \(\mathbb{R}^N\) ⋮ On the existence of ground state solutions for fractional Schrödinger-Poisson systems with general potentials and super-quadratic nonlinearity ⋮ Ground states for asymptotically linear fractional Schrödinger-Poisson systems ⋮ Infinitely many solutions of the nonlinear fractional Schrödinger equations ⋮ The fractional Schrödinger equation with Hardy-type potentials and sign-changing nonlinearities ⋮ Ground state and bounded state solution for the nonlinear fractional Choquard-Schrödinger-Poisson system ⋮ Solutions of stationary Kirchhoff equations involving nonlocal operators with critical nonlinearity in RN ⋮ Ground state for fractional Schrödinger-Poisson equation in Coulomb-Sobolev space ⋮ Ground state solutions for the non-linear fractional Schrödinger–Poisson system ⋮ Sign-changing solutions for fractional Schrödinger–Poisson system in ℝ3 ⋮ Infinitely many solutions for a class of sublinear fractional Schrödinger equations with indefinite potentials ⋮ Existence and asymptotic behavior of standing wave solutions for a class of generalized quasilinear Schrödinger equations with critical Sobolev exponents ⋮ Unnamed Item ⋮ Existence and multiplicity results for the fractional magnetic Schrödinger equations with critical growth ⋮ Ground state solutions for fractional Schrödinger equations with critical exponents ⋮ Existence and multiplicity results for the fractional Schrödinger equations with indefinite potentials ⋮ Solutions of perturbed fractional Schrödinger equations with critical non-linearity ⋮ Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth ⋮ Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent ⋮ Existence of infinitely many high energy solutions for a class of fractional Schrödinger systems ⋮ Existence and concentration of ground state solutions for a class of fractional Schrödinger equations
This page was built for publication: Ground states for fractional Schrödinger equations with critical growth