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Three solutions for a perturbed Dirichlet boundary value problem involving the -Laplacian

✍ 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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πŸ“œ SIMILAR VOLUMES


Infinitely many non-negative solutions f
✍ Guowei Dai πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 587 KB

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.

Existence of three solutions for a pertu
✍ Gabriele Bonanno; Antonia ChinnΓ¬ πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 262 KB

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.