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On some quasilinear equations involving the p -Laplacian with Robin boundary conditions

✍ Scribed by Duchateau, Xavier

Book ID
125515966
Publisher
Taylor and Francis Group
Year
2011
Tongue
English
Weight
381 KB
Volume
92
Category
Article
ISSN
0003-6811

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πŸ“œ SIMILAR VOLUMES

Positive solutions for the -Laplacian wi
Positive solutions for the -Laplacian with Robin boundary conditions on irregular domains
✍ P. DrΓ‘bek; I. Schindler πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 214 KB

We consider the Robin boundary conditions on irregular domains where the usual Sobolev embeddings fail. We present a functional framework permitting superhomogeneous growth of the nonlinearity and prove the existence of positive, bounded, and smooth solutions of the p-Laplacian equation.

On the Fu c ˘ ik spectrum for the -Lapla
On the Fu c ˘ ik spectrum for the -Laplacian with Robin boundary condition
✍ Dumitru Motreanu; Patrick Winkert πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 283 KB

The aim of this paper is to study the Fucik spectrum of the p-Laplacian with Robin boundary condition given by where Ξ² β‰₯ 0. If Ξ² = 0, it reduces to the Fucik spectrum of the negative Neumann p-Laplacian. The existence of a first nontrivial curve C of this spectrum is shown and we prove some propert