Multiplicity of solutions to a degenerate diffusion problem.

DOI10.1016/S0362-546X(03)00042-7zbMath1126.35317OpenAlexW2073064085MaRDI QIDQ1395843

José C. Sabina De Lis, Jorge García-Melián

Publication date: 1 July 2003

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(03)00042-7

zbMATH Keywords

Phase plane analysisDead coresDegenerate diffusionMultiplicity of solutions

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Abstract bifurcation theory involving nonlinear operators (47J15)

Cites Work

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• On the maximum of solutions for a semilinear elliptic problem
• Stationary patterns to diffusion problems
• Uniqueness to quasilinear problems for the \(p\)-Laplacian in radially symmetric domains
• Stationary profiles of degenerate problems when a parameter is large

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