Multiplicity results for the fractional Laplacian in expanding domains

DOI10.1007/s00009-018-1186-9zbMath1393.35272arXiv1511.09406OpenAlexW2963669194WikidataQ111288277 ScholiaQ111288277MaRDI QIDQ723865

Gaetano Siciliano, Marcos T. O. Pimenta, Giovany M. Figueiredo

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.09406

zbMATH Keywords

Morse theorymultiplicity of solutionsfractional LaplacianLjusternick-Schnirelmann category

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fractional partial differential equations (35R11)

Related Items (4)

Multiplicity of positive solutions for a quasilinear Schrödinger equation with an almost critical nonlinearity ⋮ Multiple solutions for a Schrödinger–Bopp–Podolsky system with positive potentials ⋮ Variational Methods for Schrödinger Type Equations ⋮ Multiple sign-changing solutions for superlinear \((p,q)\)-equations in symmetrical expanding domains

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