Three solutions for a perturbed Dirichlet boundary value problem involving the -Laplacian
β Scribed by Xudong Shang; Jihui Zhang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 371 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Multiple solutions for a discrete boundary value problem involving the p-Laplacian are established. Our approach is based on critical point theory.
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.
The aim of this note is to establish the existence of three solutions for a perturbed twopoint boundary value problem depending of two real parameters. The approach is based on variational methods.