Multiple solutions for quasilinear elliptic problems via critical points in open sublevels and truncation principles

DOI10.1016/j.jmaa.2012.05.003zbMath1246.35094OpenAlexW1998942311MaRDI QIDQ441961

Siegfried Carl, Pasquale Candito, Roberto Livrea

Publication date: 8 August 2012

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.2012.05.003

zbMATH Keywords

critical points\(p\)-Laplaciansign-changing solutionsextremal constant-sign solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) A priori estimates in context of PDEs (35B45) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Multiplicity of positive solutions for a degenerate nonlocal problem with \(p\)-Laplacian, Two solutions for a parametric singular p-Laplacian problem, Multiple positive solutions for a \((p,q)\)-Laplace equation involving singular and critical terms, Triple solutions for a damped impulsive differential equation

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