Leray-Schauder's solution for a nonlocal problem in a fractional Orlicz-Sobolev space

DOI10.2478/MJPAA-2020-0004MaRDI QIDQ6491208

Mohammed Srati, Athmane Boumazourh

Publication date: 24 April 2024

Published in: Moroccan Journal of Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

fractional Orlicz-Sobolev spacesfractional \(a\)-LaplacianLeray-Schauder's alternative theorem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)

Related Items (5)

On a class of nonlocal problems in new fractional Musielak-Sobolev spaces ⋮ Embedding and extension results in fractional Musielak–Sobolev spaces ⋮ Eigenvalue problem associated with nonhomogeneous integro-differential operators ⋮ Existence of a solution to a nonlocal Schrödinger system problem in fractional modular spaces ⋮ Ground state solutions for a nonlocal system in fractional Orlicz-Sobolev spaces

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