Existence and uniqueness of nonnegative solutions for a boundary blow-up problem

DOI10.1016/j.jmaa.2010.05.053zbMath1197.35106OpenAlexW2015432890MaRDI QIDQ990835

Ahmed Hamydy

Publication date: 1 September 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.053

zbMATH Keywords

maximum principleregularityexistencenonexistenceuniquenessblow-up solutionp-Laplacianexplosive solutionsub- and super-solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Properties of the set of positive solutions to Dirichlet boundary value problems with time singularities ⋮ Existence of blow-up solutions for a non-linear equation with gradient term in \(\mathbb R^N\) ⋮ Blow-up solutions to a \((p,q)\)-Laplacian system with gradient term ⋮ Existence and non-existence of blow-up solutions for a non-autonomous problem with indefinite and gradient terms

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