Non-existence of entire solutions of degenerate elliptic inequalities with weights
โ Scribed by Filippucci R., Pucci P., Rigoli M.
- Book ID
- 127403836
- Year
- 2000
- Tongue
- English
- Weight
- 277 KB
- Category
- Library
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