Non-existence of Entire Solutions of Degenerate Elliptic Inequalities with Weights
โ Scribed by Roberta Filippucci; Patrizia Pucci; Marco Rigoli
- Book ID
- 105872096
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 246 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we study the problem -div a(x; u; โu) -div (u) + g(x; u) = f in in the setting of the weighted sobolev space W 1;p 0 ( ; ). The main novelty of our work is L โ estimates on the solutions, and the existence of a weak and renormalized solution.
This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, โu) = gdiv(f ), where a(x, u, โu) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renor