Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces

zbMath1496.35160arXiv2112.02734MaRDI QIDQ2169403

María Laura de Borbón, Pablo Ochoa, Leandro M. Del Pezzo

Publication date: 2 September 2022

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.02734

zbMATH Keywords

equivalence between weak and viscosity solutionsfractional \(g\)-Laplace equation

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) Weak solutions to PDEs (35D30) Viscosity solutions to PDEs (35D40) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth, Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional \(p\)-Laplace and the fractional \(p\)-convexity

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