Asymptotic behavior of the solutions of the \(p\)-Laplacian equation

DOI10.1007/S11425-006-0740-2zbMath1110.35038OpenAlexW2156234823MaRDI QIDQ862720

Liqin Zhang, Jun Ning Zhao

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0740-2

zbMATH Keywords

\(p\)-Laplacian equationasymptotic bahaviorCauchy and Dirichlet problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• Corrections to: ``Limiting behavior of solutions of \(u_ t={\Delta{}}u^ m\) as \(m{\to{}}\infty{}\)
• A singular limit problem for the porous medium equation
• Fast/slow diffusion and collapsing sandpiles,
• The Mesa Problem: Diffusion Patterns for u_t = ∇ · (u^m∇u) as m → +∞
• Singular limit of solutions of the \(p\)-Laplacian equation

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