Infinitely many non-negative solutions for a Dirichlet problem involving -Laplacian

✍ Scribed by Guowei Dai

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 587 KB
• Volume: 71
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2009.05.007

✦ Synopsis

In this paper, we consider a Dirichlet problem involving the p(x)-Laplacian of the type

We prove the existence of infinitely many non-negative solutions of the problem by applying a general variational principle due to B. Ricceri and the theory of the variable exponent Sobolev spaces.