Large solutions for equations involving the \(p\)-Laplacian and singular weights

DOI10.1007/S00033-008-7141-ZzbMath1169.35332OpenAlexW1982187903MaRDI QIDQ834569

Jorge García-Melián

Publication date: 27 August 2009

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-008-7141-z

zbMATH Keywords

\(p\)-Laplaciansingular weightsboundary blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Variational methods for higher-order elliptic equations (35J35)

Related Items (13)

Boundary behavior of large solutions to \(p\)-Laplacian elliptic equations ⋮ Existence results for elliptic problems with gradient terms via a priori estimates ⋮ Eigenvalue problems for singular \(p\)-Monge-Ampère equations ⋮ Sufficient and necessary conditions on the existence and estimates of boundary blow-up solutions for singular \(p\)-Laplacian equations ⋮ Large solutions for a nonhomogeneous quasilinear elliptic problem ⋮ Necessary and sufficient conditions for existence of blow‐up solutions for elliptic problems in Orlicz–Sobolev spaces ⋮ Existence and Asymptotic Behavior for Solutions to Boundary Blow-up Elliptic Problems ⋮ The exact asymptotic behavior of boundary blow-up solutions to infinity Laplacian equations ⋮ Boundary blow-up solutions for a cooperative system of quasilinear equation ⋮ Large solutions for a cooperative elliptic system of \(p\)-Laplacian equations ⋮ Large solutions to an anisotropic quasilinear elliptic problem ⋮ Blow-up solutions for a \(p\)-Laplacian elliptic equation of logistic type with singular nonlinearity ⋮ Existence and non-existence of blow-up solutions for a non-autonomous problem with indefinite and gradient terms

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