The Robin and Wentzell-Robin Laplacians on Lipschitz Domains
โ Scribed by Mahamadi Warma
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 468 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0037-1912
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๐ 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 ฮฒ โฅ 0. If ฮฒ = 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
Let be a smooth bounded domain of R N , N 2, which is symmetric with respect to the origin. In this Note we prove that, under some geometrical condition on (for example convexity in the directions x 1 , . . . , x N ), the Hessian matrix of the Robin function computed at zero is diagonal and strictly