Concentration behavior of solutions for fractional Schrödinger equations involving critical exponent

DOI10.1063/1.5099219zbMath1454.35347OpenAlexW3045566728MaRDI QIDQ5140953

Quanqing Li, Wenbo Wang, Jian Zhang, Kai-Min Teng

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5099219

zbMATH Keywords

critical exponentfractional Schrödinger equations

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Related Items (1)

Multiplicity and concentration results for local and fractional NLS equations with critical growth

Cites Work

• Hitchhiker's guide to the fractional Sobolev spaces
• Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
• Fractional quantum mechanics and Lévy path integrals
• Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
• Bound state for the fractional Schrödinger equation with unbounded potential
• Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
• Ground states for fractional Schrödinger equations with critical growth
• Ground states for fractional Schrödinger equations with critical growth

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