Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces

DOI10.1051/cocv/2020064zbMath1470.35387arXiv2003.13581OpenAlexW3092536369MaRDI QIDQ4999592

Sabri Bahrouni, Ariel Martin Salort

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13581

zbMATH Keywords

Neumann problemRobin problemthree solutionsfractional Orlicz-Sobolev spacesnonlocal Robin type boundary condition

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) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Singular nonlinear integral equations (45G05) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (15)

Fractional eigenvalues in Orlicz spaces with no \(\Delta_2\) condition ⋮ Blow-up in a fractional Laplacian mutualistic model with Neumann boundary conditions ⋮ Sign-changing solution for a generalized Kirchhoff problem in the fractional Orlicz-Sobolev space with nonsmooth nonlinearity ⋮ Variational eigenvalues of the fractional g-Laplacian ⋮ Robust nonlocal trace spaces and Neumann problems ⋮ Global Hölder regularity for eigenfunctions of the fractional \(g\)-Laplacian ⋮ A Moser-Trudinger type inequality on the Orlicz fractional space ⋮ On the L^∞‐regularity for fractional Orlicz problems via Moser's iteration ⋮ Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz-Sobolev spaces ⋮ Boundedness of functions in fractional Orlicz-Sobolev spaces ⋮ Maximum principles, Liouville theorem and symmetry results for the fractional \(g\)-Laplacian ⋮ Compact embedding theorems and a Lions' type lemma for fractional Orlicz-Sobolev spaces ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces ⋮ Lower bounds for Orlicz eigenvalues ⋮ Ground state and nodal solutions for fractional Orlicz problems with lack of regularity and without the Ambrosetti-Rabinowitz condition

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