Existence of weak solutions for a class of fractional Schrödinger equations with periodic potential

DOI10.1016/j.camwa.2016.12.004OpenAlexW2569329391MaRDI QIDQ2398449

Chun-Lei Tang, Jiu Liu, Yang Pu

Publication date: 16 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.12.004

zbMATH Keywords

nonlinear Schrödinger equationstrongly indefinite functionalfractional Laplacian

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

Related Items

Generalized Fountain theorem for locally Lipschitz functionals and application, On nonlinear fractional Schrödinger equations with indefinite and Hardy potentials, Standing Waves of Fractional Schrödinger Equations with Potentials and General Nonlinearities, Multiplicity results for a fractional Schrödinger equation with potentials, INFINITELY MANY SOLUTIONS FOR CRITICAL FRACTIONAL EQUATION WITH SIGN-CHANGING WEIGHT FUNCTION, Infinitely many solutions for fractional Schrödinger equation with potential vanishing at infinity, Existence and concentration of ground state solutions for a class of fractional Schrödinger equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On multiple solutions of a semilinear Schrödinger equation with periodic potential
• On some critical problems for the fractional Laplacian operator
• Hitchhiker's guide to the fractional Sobolev spaces
• On superlinear Schrödinger equations with periodic potential
• Infinitely many weak solutions for a fractional Schrödinger equation
• The Brezis-Nirenberg type problem involving the square root of the Laplacian
• Nonlinear scalar field equations. I: Existence of a ground state
• Fractional quantum mechanics and Lévy path integrals
• Generalized Fountain Theorem and applications to strongly indefinite semilinear problems
• Bound state for the fractional Schrödinger equation with unbounded potential
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• Ground state solutions of asymptotically linear fractional Schrödinger equations
• Ground states for fractional Schrödinger equations with critical growth