Positive entire solutions for singular \(p\)-Laplacian equations on \(\mathbb R^N\) with \(p \geq N \geq 2\)

DOI10.1016/j.na.2010.04.073zbMath1196.35110OpenAlexW2516270613MaRDI QIDQ988811

Wu Jiong Qi

Publication date: 19 August 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.2010.04.073

zbMATH Keywords

\(p\)-Laplacian equationsuper-subsolution methodsingular equationnon-radial solutionpositive entire solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Cites Work

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• Existence and a priori estimates for positive solutions of \(p\)-Laplace systems
• On the existence of radial positive entire solutions for polyharmonic systems
• Bounded positive entire solutions of singular quasilinear elliptic equations
• On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
• Positive solutions of a class of second order semilinear elliptic equations in the plane
• Positive solutions of quasilinear elliptic equations in exterior domains
• Symmetric positive entire solutions of second-order quasilinear degenerate elliptic equations
• On positive radial entire solutions of second-order quasilinear elliptic systems.
• Symmetry of ground states of quasilinear elliptic equations
• Bounded positive entire solutions of singular \(p\)-Laplacian equations

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