Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling

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

zbMATH Keywords

critical pointspositive solutionmultiplicity resultsnonlinear fractional Schrödinger equationLusternik-Schnirelmann theoryminimum points

Mathematics Subject Classification ID

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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EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR KIRCHHOFF-SCHRÖDINGER-POISSON SYSTEM WITH CONCAVE AND CONVEX NONLINEARITIES, Existence and concentration of positive solutions to a fractional system with saturable term, Bound state positive solutions for a class of elliptic system with Hartree nonlinearity, Multiplicity and concentration of solutions for a fractional Schrödinger–Poisson system with sign-changing potential, Infinitely many solutions for the Klein-Gordon equation with sublinear nonlinearity coupled with Born-Infeld theory, Properties of the minimizers for a constrained minimization problem arising in fractional NLS system, Existence and multiplicity of positive solutions for Kirchhoff-Schrödinger-Poisson system with critical growth, Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities, Existence of positive ground state solutions to a nonlinear fractional Schrödinger system with linear couplings, Existence and concentration of solutions for the sublinear fractional Schrödinger-Poisson system, Ground state solution ofp-Laplacian equation with finite many critical nonlinearities, EXISTENCE AND CONCENTRATION RESULT FOR KIRCHHOFF EQUATIONS WITH CRITICAL EXPONENT AND HARTREE NONLINEARITY

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