In this paper, we study the problem -div a(x; u; βu) -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 β estimates on the solutions, and the existence of a weak and renormalized solution.
Existence results for nonlinear elliptic equations with degenerate coercivity
β Scribed by Angelo Alvino; Lucio Boccardo; Vincenzo Ferone; Luigi Orsina; Guido Trombetti
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 283 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0373-3114
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