Singular boundary value problems for the \(p\)-Laplacian

DOI10.1016/j.na.2010.06.037zbMath1198.35114OpenAlexW2419138016MaRDI QIDQ992822

Dang Dinh Hai

Publication date: 10 September 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.037

zbMATH Keywords

positive solutionssingular BVP\(p\)-Laplace

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Singular quasilinear convective systems involving variable exponents ⋮ Multiple solutions for a singular problem involving the fractional \(p\)-\(q\)-Laplacian operator ⋮ On a class of infinite semipositone problems for ( p , q ) Laplace operator ⋮ Positive solutions for non-cooperative singular \(p\)-Laplacian systems ⋮ Existence of multiple positive solutions for singular p‐q‐Laplacian problems with critical nonlinearities ⋮ On a class of singular \(p\)-Laplacian boundary value problems ⋮ Multiplicity of solutions for a singular system involving the fractional \(p\)-\(q\)-Laplacian operator and sign-changing weight functions

Cites Work

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• On singular nonpositone semilinear elliptic problems
• A strong maximum principle for some quasilinear elliptic equations
• Multiple positive solutions of singular \(p\)-Laplacian problems by variational methods
• Quasilinear elliptic equations involving critical Sobolev exponents
• Boundary regularity for solutions of degenerate elliptic equations
• Existence and uniqueness of positive solutions for some quasilinear elliptic problems