Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space. Nonlocal eigenvalue type problem

DOI10.1007/s43036-020-00067-5zbMath1445.35297OpenAlexW3025304605MaRDI QIDQ2193473

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://doi.org/10.1007/s43036-020-00067-5

zbMATH Keywords

eigenvalue problemEkeland's variational principlefractional Orlicz-Sobolev spacesfractional \(a\)-Laplacian

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 eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (9)

On a class of nonlocal problems in new fractional Musielak-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 ⋮ On fractional Musielak-Sobolev spaces and applications to nonlocal problems ⋮ Existence results for fractional \(p(x, . )\)-Laplacian problem via the Nehari manifold approach ⋮ Eigenvalue problem associated with nonhomogeneous integro-differential operators ⋮ Existence of a solution to a nonlocal Schrödinger system problem in fractional modular spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
• On the isometries of certain function-spaces
• Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
• Eigenvalue problems involving the fractional \(p(x)\)-Laplacian operator
• On the variational principle
• Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
• Three solutions for a Schrödinger-Kirchhoff type equation involving nonlocal fractional integro-defferential operators
• Eigenvalues and minimizers for a non-standard growth non-local operator
• Fractional order Orlicz-Sobolev spaces
• A nonlocal singular perturbation problem with periodic well potential
• Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians
• Three solutions for a nonlocal fractionalp-Kirchhoff type elliptic system
• Three solutions for a Kirchhoff-type problem involving nonlocal fractional $p$-Laplacian
• A Pólya–Szegö principle for general fractional Orlicz–Sobolev spaces
• Mathematical modeling of electrorheological materials

This page was built for publication: Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space. Nonlocal eigenvalue type problem