Existence and nonexistence of global positive solutions for the evolution \(p\)-Laplacian equations in exterior domains

DOI10.1016/J.NA.2006.06.048zbMath1124.35036OpenAlexW2048477119MaRDI QIDQ881621

Xian-zhong Zeng

Publication date: 30 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.06.048

zbMATH Keywords

blow-upinhomogeneous boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Related Items (2)

Blow-up phenomena for \(p\)-Laplacian parabolic problems with Neumann boundary conditions ⋮ On inhomogeneous exterior Robin problems with critical nonlinearities

Cites Work

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• The Role of Critical Exponents in Blowup Theorems
• On the equation u_t = ∆u^α + u^β
• On nonexistence of global solutions of some semilinear parabolic differential equations
• The critical exponent of doubly singular parabolic equations

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