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Infinitely many solutions for the Dirichlet problem involving the -Laplacian

✍ Scribed by F. Cammaroto; A. Chinnì; B. Di Bella

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
181 KB
Volume
61
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

Infinitely many non-negative solutions f
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✍ 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.

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✍ Bin Ge; Xiaoping Xue 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 352 KB

In this paper we study the nonlinear elliptic problem driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality), that is where Ω ⊂ R N is a bounded domain and p : Ω → R is a continuous function satisfying some given assumptions. The approach used in this pap