Elliptic equations with triple variable nonlinearity

DOI10.1080/17476933.2010.504844zbMath1236.35040OpenAlexW2330667197WikidataQ59227349 ScholiaQ59227349MaRDI QIDQ3093059

Sergey Shmarev, Stanislav N. Antontsev

Publication date: 12 October 2011

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.504844

zbMATH Keywords

existenceuniquenesselliptic PDEvariable nonlinearitydouble degeneracylocalization and dead cores

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

Parabolic equations with double variable nonlinearities

Cites Work

• Existence of solution for a degenerate \(p(x)\)-Laplacian equation in \(\mathbb R^N\)
• The strong maximum principle revisited.
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
• Entropy solutions for the $p(x)$-Laplace equation
• Local Vanishing Properties of Solutions of Elliptic and Parabolic Quasilinear Equations
• On a Nonlinear Parabolic Problem Arising in Some Models Related to Turbulent Flows
• On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
• Dead Cores and Bursts for Quasilinear Singular Elliptic Equations
• Existence and uniqueness of a weak solution to the initial mixed boundary value problem for quasilinear elliptic-parabolic equations
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)

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