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Multiplicity theorems for the Dirichlet problem involving the p-Laplacian

✍ Scribed by Gabriele Bonanno; Roberto Livrea

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
98 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we establish some results on the existence of at least three weak solutions for Dirichlet problems involving the p-Laplacian by a variational approach.

πŸ“œ SIMILAR VOLUMES

Multiple solutions for inequality Dirich
Multiple solutions for inequality Dirichlet problems by the -Laplacian
✍ Bin Ge; Xiaoping Xue πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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 βŠ‚ R N is a bounded domain and p : Ω β†’ R is a continuous function satisfying some given assumptions. The approach used in this pap