A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians

DOI10.1007/s13163-021-00390-2zbMath1490.35517arXiv1807.01669OpenAlexW3144311804WikidataQ114220246 ScholiaQ114220246MaRDI QIDQ2141400

Mayte Pérez-Llanos, Ariel Martin Salort, Julián Fernández Bonder

Publication date: 25 May 2022

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01669

zbMATH Keywords

Orlicz-Sobolev spacesfractional order Sobolev spacesfractional \(g\)-Laplace operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular nonlinear integral equations (45G05) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92) Integro-partial differential equations (35R09)

Related Items (10)

Interior and up to the boundary regularity for the fractional \(g\)-Laplacian: The convex case ⋮ A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth ⋮ Variational eigenvalues of the fractional g-Laplacian ⋮ Global Hölder regularity for eigenfunctions of the fractional \(g\)-Laplacian ⋮ A new class of fractional Orlicz-Sobolev space and singular elliptic problems ⋮ On fractional Musielak-Sobolev spaces and applications to nonlocal problems ⋮ On a class of nonvariational problems in fractional Orlicz-Sobolev spaces ⋮ Eigenvalues and minimizers for a non-standard growth non-local operator ⋮ Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems ⋮ Hardy inequalities in fractional Orlicz-Sobolev spaces

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