Existence and multiplicity of nontrivial solutions for Liouville-Weyl fractional nonlinear Schrödinger equation

DOI10.1007/s13398-017-0405-8zbMath1400.35221OpenAlexW2612169547MaRDI QIDQ1800604

Ying Li, Binxiang Dai

Publication date: 24 October 2018

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/s13398-017-0405-8

zbMATH Keywords

mountain pass theoremEkeland variational principlefractional Sobolev spaceLiouville-Weyl fractional derivative

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)

Related Items (3)

Ground state solutions for a class of superquadratic fractional Hamiltonian systems ⋮ Multiple solutions for fractional Hamiltonian systems locally defined near the origin ⋮ The Nehari manifold for aψ-Hilfer fractionalp-Laplacian

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