Structure of nontrivial nonnegative solutions of singularly perturbed quasilinear Dirichlet problems

DOI10.1002/MANA.200510568zbMath1139.35011OpenAlexW2052691015MaRDI QIDQ5434612

Zongming Guo, Zhengce Zhang

Publication date: 7 January 2008

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200510568

zbMATH Keywords

\(p\)-Laplacianquasilinear Dirichlet problemleast-energy solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Nonexistence of positive solutions of an integral system with weights ⋮ A universal bound for radial solutions of the quasilinear parabolic equation with \(p\)-Laplace operator ⋮ Structure of least-energy solutions for quasilinear elliptic equations on convex domains ⋮ Nonexistence and radial symmetry of positive solutions of semilinear elliptic systems

Cites Work

• Unnamed Item
• On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem
• On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems

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