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Existence of solutions for nonlinear elliptic degenerate equations

✍ Scribed by A. Benkirane; J. Bennouna

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 274 KB
Volume: 54
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(03)00031-2

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✦ Synopsis

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.

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