Large solutions to the \(p\)-Laplacian for large \(p\)

DOI10.1007/s00526-007-0109-6zbMath1187.35072OpenAlexW2461890887MaRDI QIDQ2461553

Julio D. Rossi, Jorge García-Melián, José C. Sabina De Lis

Publication date: 28 November 2007

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-007-0109-6

zbMATH Keywords

\(p\)-Laplacianinfinite boundary values

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (10)

The influence of sources terms on the boundary behavior of the large solutions of quasilinear elliptic equations: The power like case ⋮ Boundary behavior of large solutions to \(p\)-Laplacian elliptic equations ⋮ Nonlinear parabolic problem with/without an explosive condition on the boundary ⋮ Sufficient and necessary conditions on the existence and estimates of boundary blow-up solutions for singular \(p\)-Laplacian equations ⋮ The first and second expansion of large solutions for quasilinear elliptic equations with weight functions ⋮ Large solutions to quasilinear problems involving the \(p\)-Laplacian as \(p\) diverges ⋮ Asymptotic behavior of large solutions to \(p\)-Laplacian of Bieberbach-Rademacher type ⋮ Boundary behaviour of explosive solution to quasilinear elliptic problems with nonlinear gradient terms ⋮ Asymptotic boundary estimates for solutions to the \(p\)-Laplacian with infinite boundary values ⋮ Large solutions for the elliptic 1-Laplacian with absorption

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