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Infinitely many solutions for a -Laplacian equation in

✍ Scribed by Guowei Dai

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
504 KB
Volume
71
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Infinitely many non-negative solutions f
Infinitely many non-negative solutions for a Dirichlet problem involving -Laplacian
✍ 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 infinitely many weak soluti
Existence of infinitely many weak solutions for the -Laplacian with nonlinear boundary conditions
✍ Ji-Hong Zhao; Pei-Hao Zhao πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 324 KB

In this paper we deal with the existence of weak solutions for quasilinear elliptic problem involving a p-Laplacian of the form We consider the above problem under several conditions on f . For f "superlinear" and subcritical with respect to u, we prove the existence of infinitely many solutions of