Remarks on a nonlinear nonlocal operator in Orlicz spaces

DOI10.1515/ANONA-2020-0002zbMath1426.45005arXiv1809.00937OpenAlexW2950335477WikidataQ127812409 ScholiaQ127812409MaRDI QIDQ2311840

Ernesto Correa, Arturo de Pablo

Publication date: 4 July 2019

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00937

zbMATH Keywords

Orlicz spacesintegral operatorsnonlocal equations\(p\)-fractional Laplacian

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral operators (45P05)

Related Items (7)

The 0-fractional perimeter between fractional perimeters and Riesz potentials ⋮ Solvability of nonlinear fractional integro-differential equation with nonlocal condition ⋮ Multi-peak solutions of a class of fractional \(p\)-Laplacian equations ⋮ Sobolev-Dirichlet problem for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces ⋮ Gradient estimate of a variable power for nonlinear elliptic equations with Orlicz growth ⋮ Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces

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