Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions

DOI10.1186/s13661-022-01667-1zbMath1518.35263OpenAlexW4309187734MaRDI QIDQ6099713

Baoxia Jin, Yongpeng Chen

Publication date: 20 June 2023

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-022-01667-1

zbMATH Keywords

Nehari manifoldfractional nonlinear Schrödinger equationexistence of infinitely many soutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (1)

Correction to: ``Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlocal diffusion and applications
• Hitchhiker's guide to the fractional Sobolev spaces
• Nonnegative solutions of elliptic problems with sublinear indefinite nonlinearity
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Fractional quantum mechanics and Lévy path integrals
• Infinitely many positive solutions for a nonlocal problem
• Three solutions for a fractional Schrödinger equation with vanishing potentials
• Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
• Infinitely many sign-changing solutions for a nonlocal problem
• Variational methods for indefinite superlinear homogeneous elliptic problems
• Minimax theorems
• Infinitely many solutions for some singular elliptic problems
• Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth
• Nonlinear singular problems with convection
• Positive solutions for anisotropic singular Dirichlet problems
• Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
• Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
• Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Variational Methods for Nonlocal Fractional Problems
• THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS
• Concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system involving critical exponent
• The concentration behavior of ground state solutions for a critical fractional Schrödinger–Poisson system
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• Infinitely many solutions for semilinear elliptic problems with sign-changing weight functions
• An Extension Problem Related to the Fractional Laplacian
• The least energy sign-changing solution for a nonlocal problem

This page was built for publication: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions