A Harnack inequality for a transmission problem withp(x)-Laplacian

DOI10.1080/00036811.2017.1423473zbMath1416.35123OpenAlexW2782721489MaRDI QIDQ4628945

Yury A. Alkhutov, Mikhail D. Surnachev

Publication date: 25 March 2019

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

Full work available at URL: https://doi.org/10.1080/00036811.2017.1423473

zbMATH Keywords

Harnack inequalitytransmission problem\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth ⋮ Existence and multiplicity of solutions for some Styklov problem involving p(x)-Laplacian operator ⋮ Interior continuity, continuity up to the boundary, and Harnack's inequality for double‐phase elliptic equations with nonlogarithmic conditions ⋮ Harnack inequality for solutions of the \(p(x)\)-Laplace equation under the precise non-logarithmic Zhikov's conditions ⋮ \( {\mathfrak{B}}_1\) classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth ⋮ Continuity and Harnack inequalities for local minimizers of non uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions ⋮ Harnack inequality for the elliptic \(p(x)\)-Laplacian with a three-phase exponent \(p(x)\) ⋮ \( \mathcal{B}_1\) classes of De Giorgi-Ladyzhenskaya-Ural'tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions ⋮ Harnack's inequality for the \(p(x)\)-Laplacian with a two-phase exponent \(p(x)\)

Cites Work

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• Hölder continuity of $ p(x)$-harmonic functions

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