Structure of non-trivial non-negative solutions to singularly perturbed semilinear Dirichlet problems

DOI10.1017/S0308210500002432zbMath1155.35348OpenAlexW2118911518MaRDI QIDQ4431181

Zongming Guo

Publication date: 13 October 2003

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500002432

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60)

Related Items (7)

Structure of large positive solutions of a class of quasilinear elliptic Dirichlet problems ⋮ Exact multiplicity for boundary blow-up solutions ⋮ \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations. ⋮ On the shape of the nonnegative solutions to a singularly perturbed quasilinear Dirichlet problem ⋮ Structure of boundary blow-up solutions for quasi-linear elliptic problems. II: Small and intermediate solutions ⋮ Exact multiplicity for some quasilinear elliptic Dirichlet problems where the non-linearity changes sign ⋮ Structure of nonnegative nontrivial and positive solutions of singularly perturbed \(p\)-Laplace equations

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