A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential

作者：Filippakis M; Gasinski L^*; Papageorgiou NS

来源：Nonlinear Analysis-Theory Methods & Applications, 2005, 61(1-2): 61-75.

DOI：10.1016/j.na.2004.11.012

• resonance
• eigenvalues and eigenspaces of the Laplacian
• local linking
• multiple nontrivial critical points
• variational characterizations of the eigenvalues
• hemivariational inequalities
• locally Lipschitz function
• subdifferential
• nonsmooth critical point theory

We study a semilinear elliptic problem with a nonsmooth potential and resonance at the origin between two successive eigenvalues of (-Delta, H-0(1)(Z)). our approach is variational and is based on the nonsmooth critical point theory for locally Lipschitz functions. We prove the existence of at least two nontrivial solutions.

• 出版日期2005-4-15