Existence of positive solutions to elliptic problems involving the fractional Laplacian

DOI10.1186/s13661-015-0501-7zbMath1330.35501OpenAlexW2190370894WikidataQ59434577 ScholiaQ59434577MaRDI QIDQ903980

Chao Zhang, Bin Ge

Publication date: 15 January 2016

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

Full work available at URL: https://doi.org/10.1186/s13661-015-0501-7

zbMATH Keywords

positive solutionsvariational methodfractional LaplacianPohozaev-type identity

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Cites Work

• Hitchhiker's guide to the fractional Sobolev spaces
• The Pohozaev identity for the fractional Laplacian
• Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
• Bound state for the fractional Schrödinger equation with unbounded potential
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• Ground state solutions of asymptotically linear fractional Schrödinger equations
• Variational Methods
• Classification of solutions for an integral equation

This page was built for publication: Existence of positive solutions to elliptic problems involving the fractional Laplacian