𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence results of infinitely many solutions for p ( x )-Laplacian elliptic Dirichlet problems

✍ Scribed by Bonanno, Gabriele; Chinnì, Antonia

Book ID
120629810
Publisher
Taylor and Francis Group
Year
2012
Tongue
English
Weight
165 KB
Volume
57
Category
Article
ISSN
1747-6933

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Existence of solutions for p(x)-Laplacia
Existence of solutions for p(x)-Laplacian Dirichlet problem
✍ Xian-Ling Fan; Qi-Hu Zhang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 124 KB

This paper presents several su cient conditions for the existence of solutions for the Dirichlet problem of p(x)-Laplacian Especially, an existence criterion for inÿnite many pairs of solutions for the problem is obtained. The discussion is based on the theory of the spaces L p(x) ( ) and W 1;p(x)

Infinitely many non-negative solutions f
Infinitely many non-negative solutions for a Dirichlet problem involving -Laplacian
✍ Guowei Dai 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 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.