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Existence and uniqueness results for large solutions of general nonlinear elliptic equations

✍ Scribed by Moshe Marcus; Laurent Véron

Publisher
Springer
Year
2003
Tongue
English
Weight
153 KB
Volume
3
Category
Article
ISSN
1424-3199

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📜 SIMILAR VOLUMES

Existence of solutions for nonlinear ell
Existence of solutions for nonlinear elliptic degenerate equations
✍ A. Benkirane; J. Bennouna 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 274 KB

In this paper, we study the problem -div a(x; u; ∇u) -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 ∞ estimates on the solutions, and the existence of a weak and renormalized solution.