Existence theorems of multiple critical points and applications

✍ Scribed by Jingxian Sun; Jinli Sun

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 242 KB
• Volume: 61
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2005.01.082

✦ Synopsis

In this paper, using the method of invariant sets of descending flow, the multiplicity of critical points of a functional is discussed. A main theorem, which is called chain of rings theorem, is obtained. The theoretical results are applied to nonlinear elliptic boundary value problems and at least seven or nine solutions are obtained.