On a class of nonvariational problems in fractional Orlicz-Sobolev spaces

DOI10.1016/j.na.2019.111595zbMath1430.35084OpenAlexW2969520659WikidataQ127347601 ScholiaQ127347601MaRDI QIDQ2280375

Sabri Bahrouni, Anouar Bahrouni, Mingqi Xiang

Publication date: 18 December 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111595

zbMATH Keywords

pseudomonotone operatornonvariational problemfractional Orlicz-Sobolev spacefractional \(M\)-Laplacian

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Related Items (15)

Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces ⋮ Ground state solutions of nonlinear Schrödinger equations involving the fractional p-Laplacian and potential wells ⋮ Sign-changing solution for a generalized Kirchhoff problem in the fractional Orlicz-Sobolev space with nonsmooth nonlinearity ⋮ Variational eigenvalues of the fractional g-Laplacian ⋮ A new class of fractional Orlicz-Sobolev space and singular elliptic problems ⋮ Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz-Sobolev spaces ⋮ On fractional Musielak-Sobolev spaces and applications to nonlocal problems ⋮ Boundedness of functions in fractional Orlicz-Sobolev spaces ⋮ Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems ⋮ Existence of a solution to a nonlocal Schrödinger system problem in fractional modular spaces ⋮ 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 ⋮ Ground state and nodal solutions for fractional Orlicz problems with lack of regularity and without the Ambrosetti-Rabinowitz condition ⋮ Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces

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