Critical point theory for nonsmooth functionals

✍ Scribed by Jiaquan Liu; Yuxia Guo

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 180 KB
• Volume: 66
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2006.04.003

✦ Synopsis

In this paper, we develop critical point theory for nonsmooth functional f :

The corresponding deformation lemmas are proved. With the application to the bifurcation for quasilinear Schrödinger equations in mind, we extend the obtained results to that for a functional defined on a product space and prove a generalized saddle point theorem.