Asymptotic behaviour of small solutions of singularly perturbed problems

DOI10.1017/S0004972700018955zbMath0979.35015OpenAlexW2057691112MaRDI QIDQ4761494

Zongming Guo

Publication date: 13 February 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700018955

zbMATH Keywords

asymptotic behaviorspike-layer solutiondegenerate bistable nonlinearity

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60)

Cites Work

• Symmetry and related properties via the maximum principle
• Asymptotic shape and location of small cores in elliptic free-boundary problems
• Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
• On spike solutions of singularly perturbed semilinear Dirichlet problem
• On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: Intermediate solutions
• Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. I: The radial case
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems

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