Structure of boundary blow-up solutions for quasilinear elliptic problems I. Large and small solutions

DOI10.1017/S0308210500004030zbMath1129.35381OpenAlexW2094960174MaRDI QIDQ5316042

Zongming Guo, Jeffrey R. L. Webb

Publication date: 12 September 2005

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/s0308210500004030

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items

Remarks on uniqueness of boundary blow-up solutions, Sufficient and necessary conditions on the existence and estimates of boundary blow-up solutions for singular \(p\)-Laplacian equations, Boundary blow-up solutions of \(p\)-Laplacian elliptic equations with lower order terms, A second-order estimate for blow-up solutions of elliptic equations, Transition-layer solutions of quasilinear elliptic boundary blow-up problems and Dirichlet problems, Large solutions for an elliptic system of quasilinear equations, Large solutions for a cooperative elliptic system of \(p\)-Laplacian equations, The exact blow-up rates of large solutions for semilinear elliptic equations, Structure of boundary blow-up solutions for quasi-linear elliptic problems. II: Small and intermediate solutions, Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term, Existence, uniqueness, and blow‐up rate of large solutions to equations involving the Laplacian on the half line