Regularity results for a class of nonlinear fractional Laplacian and singular problems

DOI10.1007/s00030-021-00693-9zbMath1466.35151arXiv2009.11630OpenAlexW3155315143MaRDI QIDQ2028646

Jacques Giacomoni, Guillaume Warnault, Rakesh Arora

Publication date: 1 June 2021

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11630

zbMATH Keywords

regularityexistenceuniquenessnon-existencesingular nonlinearityfractional \(p\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular elliptic equations (35J75) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Nonlocal Lazer-McKenna-type problem perturbed by the Hardy's potential and its parabolic equivalence ⋮ Multiplicity results for nonhomogeneous elliptic equations with singular nonlinearities ⋮ Nonlinear fractional and singular systems: Nonexistence, existence, uniqueness, and Hölder regularity ⋮ On the L^∞‐regularity for fractional Orlicz problems via Moser's iteration ⋮ Interior and boundary regularity results for strongly nonhomogeneous \((p, q)\)-fractional problems ⋮ Unnamed Item ⋮ Some existence and uniqueness results for logistic Choquard equations

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