The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions
β Scribed by W. Arendt; G. Metafune; D. Pallara; S. Romanell
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 168 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0037-1912
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
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