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Infinitely many non-negative solutions for a -Kirchhoff-type problem with Dirichlet boundary condition

✍ Scribed by Guowei Dai; Jian Wei

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
368 KB
Volume
73
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we consider the Dirichlet problem involving the p(x)-Kirchhoff-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.

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.

Multiplicity results for three-point bou
Multiplicity results for three-point boundary value problems with a non-well-ordered upper and lower solution condition
✍ Xu Xian; Donal O’Regan; Sun Jingxian πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 256 KB

In this paper, under the assumption of non-well-ordered upper and lower solutions, some multiplicity results for solutions of some three-point boundary value problems are obtained using the fixed point index theory.