Existence and decays of solutions for fractional Schrödinger equations with general potentials

DOI10.1007/S00526-024-02728-2MaRDI QIDQ6499933

Yinbin Deng, Shuangjie Peng, Xian Yang

Publication date: 10 May 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Hitchhiker's guide to the fractional Sobolev spaces
• Nonlinear ground state representations and sharp Hardy inequalities
• Fractional quantum mechanics and Lévy path integrals
• Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Concentrating standing waves for the fractional nonlinear Schrödinger equation
• Weak and viscosity solutions of the fractional Laplace equation
• Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
• Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
• Uniqueness of Radial Solutions for the Fractional Laplacian
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
• Semi-classical solutions for fractional Schrödinger equations with potential vanishing at infinity
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• Classification of solutions for an integral equation
• Semi-classical analysis for fractional Schrödinger equations with fast decaying potentials

This page was built for publication: Existence and decays of solutions for fractional Schrödinger equations with general potentials