Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces

DOI10.1007/s43036-020-00042-0zbMath1445.35296arXiv1908.07806OpenAlexW3105353622MaRDI QIDQ2193455

Mohammed Srati, Elhoussine Azroul, Abdelmoujib Benkirane

Publication date: 18 August 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07806

zbMATH Keywords

fractional Orlicz-Sobolev spacesdirect method in calculus of variationsfractional \(a\)-Laplace operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Second-order elliptic equations (35J15) Fractional partial differential equations (35R11)

Related Items (23)

Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz-Sobolev spaces ⋮ Stability/nonstability properties of renormalized/entropy solutions for degenerate parabolic equations with \(L^1\)/measure data ⋮ On a class of nonlocal problems in new fractional Musielak-Sobolev spaces ⋮ Embedding theorems on the fractional Orlicz-Sobolev spaces ⋮ Unnamed Item ⋮ Existence of solution for Kirchhoff type problem in Orlicz-Sobolev spaces via Leray-Schauder's nonlinear alternative ⋮ Embedding and extension results in fractional Musielak–Sobolev spaces ⋮ Multiplicity of solutions for nonlocal parametric elliptic systems in fractional Orlicz-Sobolev spaces ⋮ Variational eigenvalues of the fractional g-Laplacian ⋮ Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space. Nonlocal eigenvalue type problem ⋮ A weak solution for the fractional \(N\)-Laplacian flow ⋮ Ekeland's variational principle for a nonlocal \(p\)-Kirchhoff type eigenvalue problem ⋮ A Moser-Trudinger type inequality on the Orlicz fractional space ⋮ Multiple solutions for nonlocal fractional Kirchhoff type problems ⋮ On the L^∞‐regularity for fractional Orlicz problems via Moser's iteration ⋮ Infinitely many solutions for problems in fractional Orlicz-Sobolev spaces ⋮ Existence results for fractional \(p(x, . )\)-Laplacian problem via the Nehari manifold approach ⋮ Compact embedding theorems and a Lions' type lemma for fractional Orlicz-Sobolev spaces ⋮ Eigenvalue problem associated with nonhomogeneous integro-differential operators ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces ⋮ Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces ⋮ Ground state solutions for a nonlocal system in fractional Orlicz-Sobolev spaces ⋮ A Pólya–Szegö principle for general fractional Orlicz–Sobolev spaces

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