Multiplicity result for a class of elliptic problems with non-differentiable terms in

✍ Scribed by Guoqing Zhang; Sanyang Liu

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 484 KB
• Volume: 71
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2008.12.055

✦ Synopsis

Using non-smooth critical point theory, and a multiplicity result based on local linking (the original smooth version is due to Brezis and Nirenberg), we prove the existence of multiple solutions for a class of Schrödinger type systems with non-differentiable terms in R N . In addition, we give two examples to illustrate our multiplicity result.