Harnack's inequality of weak type for the parabolic \(p (x)\)-Laplacian

DOI10.1134/S0001434622010199zbMath1486.35009OpenAlexW4213424211MaRDI QIDQ2113412

Mikhail D. Surnachev

Publication date: 14 March 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622010199

zbMATH Keywords

Harnack inequality\((p (x))\)-Laplaciannonnegative supersolutions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with (p)-Laplacian (35K92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Quasilinear parabolic equations (35K59)

Related Items (1)

Harnack's inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov's condition

Cites Work

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• Existence theorems for solutions of parabolic equations with variable order of nonlinearity
• Degenerate parabolic equations
• Harnack estimates for quasi-linear degenerate parabolic differential equations
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• Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent
• Localized blow-up regimes for quasilinear doubly degenerate parabolic equations
• Harnack's Inequality for Degenerate and Singular Parabolic Equations
• Harnack estimates for weak supersolutions to nonlinear degenerate parabolic equations
• Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent

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