Harnack inequality for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces

DOI10.1007/s11118-019-09781-zzbMath1445.35099OpenAlexW2942716592WikidataQ127928661 ScholiaQ127928661MaRDI QIDQ778798

Ismail Khlifi, Allami Benyaiche

Publication date: 20 July 2020

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-019-09781-z

zbMATH Keywords

Harnack inequalityHölder continuity\( \Phi \)-functionsgeneralized Orlicz-Sobolev spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (9)

The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth ⋮ Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure ⋮ Regularity theory for non-autonomous problems with a priori assumptions ⋮ Stability of solutions to obstacle problems with generalized Orlicz growth ⋮ Bloch estimates in non-doubling generalized Orlicz spaces ⋮ Wolff potential estimates for supersolutions of equations with generalized Orlicz growth ⋮ PWB-method and Wiener criterion for boundary regularity under generalized Orlicz growth ⋮ Double phase image restoration ⋮ Sobolev-Dirichlet problem for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces

Cites Work

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• Orlicz spaces and generalized Orlicz spaces
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• On harnack type inequalities and their application to quasilinear elliptic equations

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