Nontrivial solution for Schrödinger-Poisson equations involving the fractional Laplacian with critical exponent

DOI10.1007/S13398-020-00953-WzbMath1454.35137OpenAlexW3096767509MaRDI QIDQ2211163

Xiaojing Feng

Publication date: 12 November 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00953-w

zbMATH Keywords

existence of solutionscritical exponentfractional Schrödinger-Poisson equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (5)

Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth ⋮ Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical nonlocal term ⋮ Normalized ground states for the fractional Schrödinger-Poisson system with critical nonlinearities ⋮ Unnamed Item ⋮ Multiple positive solutions for fractional Schrödinger-Poisson system with doubly critical exponents

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