Existence and Asymptotic Behavior for Solutions to Boundary Blow-up Elliptic Problems

DOI10.1515/ans-2014-0107zbMath1297.35093OpenAlexW2518586010MaRDI QIDQ5409031

Amor Drissi, Nedra Belhaj Rhouma

Publication date: 11 April 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2014-0107

zbMATH Keywords

maximum principleasymptotic behaviorGreen functionboundary blow-up solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Green's functions for elliptic equations (35J08)

Cites Work

• Large solutions for equations involving the \(p\)-Laplacian and singular weights
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• A remark on the existence of explosive solutions for a class of semilinear elliptic equations
• A necessary and sufficient condition for existence of large solutions to semilinear elliptic equations
• Large solutions of sublinear elliptic equations
• On a problem of Bieberbach and Rademacher
• Back to the Keller-Osserman Condition for Boundary Blow-up Solutions
• Blow-up boundary solutions of semilinear elliptic problems

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