Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling
From MaRDI portal
Publication:5234054
DOI10.1063/1.5087755zbMath1428.35494arXiv1812.06761OpenAlexW2904804859WikidataQ127330474 ScholiaQ127330474MaRDI QIDQ5234054
Guofeng Che, Haibo Chen, Tsung-fang Wu
Publication date: 9 September 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.06761
critical pointspositive solutionmultiplicity resultsnonlinear fractional Schrödinger equationLusternik-Schnirelmann theoryminimum points
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)
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