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Degenerate solutions of a nonlinear elliptic equation on the sphere

โœ Scribed by Petean, Jimmy

Book ID
122170647
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
393 KB
Volume
100
Category
Article
ISSN
0362-546X

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โœ A. Benkirane; J. Bennouna ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 274 KB

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