Existence of two boundary blow-up solutions for semilinear elliptic equations

DOI10.1006/jdeq.1997.3324zbMath0890.35049OpenAlexW2075189347MaRDI QIDQ1377529

Amandine Aftalion, Wolfgang Reichel

Publication date: 11 May 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3324

zbMATH Keywords

boundary blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (13)

Uniqueness and layer analysis for boundary blow up solutions ⋮ On the existence of explosive solutions for semilinear elliptic problems ⋮ Exact multiplicity for boundary blow-up solutions ⋮ Remarks on uniqueness of boundary blow-up solutions ⋮ Large solutions for a semilinear elliptic problem with sign-changing weights ⋮ Large solutions for an elliptic equation with a nonhomogeneous term ⋮ Large solutions for a nonhomogeneous quasilinear elliptic problem ⋮ Multiplicity of positive solutions to boundary blow-up elliptic problems with sign-changing weights ⋮ A singular nonlinear elliptic equation with natural growth in the gradient ⋮ Transition-layer solutions of quasilinear elliptic boundary blow-up problems and Dirichlet problems ⋮ Keller-Osserman type conditions for some elliptic problems with gradient terms ⋮ Structure of boundary blow-up solutions for quasi-linear elliptic problems. II: Small and intermediate solutions ⋮ Some surprising results on a one-dimensional elliptic boundary value blow-up problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the inequality \(\Delta u \geqq f (u)\)
• Une méthode locale pour l'existence de solutions positives de problèmes semi-linéaires elliptiques dans \(R^ n\).
• Symmetry and related properties via the maximum principle
• A priori estimates and existence of positive solutions of semilinear elliptic equations
• Asymptotic behavior of solutions of boundary blow-up problems
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary
• On solutions of δu=f(u)
• A priori bounds for positive solutions of nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up

This page was built for publication: Existence of two boundary blow-up solutions for semilinear elliptic equations