Singular limit of solutions of the \(p\)-Laplacian equation

DOI10.1016/S0362-546X(99)00231-XzbMath0967.35080OpenAlexW2050156291MaRDI QIDQ5929080

Zhao Junning, Yi Qing

Publication date: 21 August 2001

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/s0362-546x(99)00231-x

zbMATH Keywords

Cauchy problemsolvabilitybehavior of the solution as \(p\to \infty\)

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Related Items (1)

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

Cites Work

• Limiting behavior of solutions of \(u_ t=\Delta{} u^ m\;as\;m\rightarrow{} \infty\)
• 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 → +∞
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