Three nontrivial solutions for the \(p\)-Laplacian with a nonsmooth potential

DOI10.1016/j.na.2007.04.021zbMath1143.35324OpenAlexW2076407196MaRDI QIDQ927949

Sandrina Rafaela Andrade Santos, Vasile Staicu, Nikolaos S. Papageorgiou

Publication date: 10 June 2008

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.2007.04.021

zbMATH Keywords

degree theory\(p\)-Laplaciangeneralized subdifferentialnonsmooth potentialconstant sign solution\((S)_{+}\)-operator

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for higher-order elliptic equations (35J35)

Related Items

Existence and subharmonicity of solutions for nonsmooth \(p\)-Laplacian systems ⋮ Periodic solutions for a differential inclusion problem involving the \(p(t)\)-Laplacian

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