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Regularity for solutions of nonlinear elliptic equations with degenerate coercivity

โœ Scribed by Abdelmoujib Benkirane; Ahmed Youssfi


Book ID
107401051
Publisher
Springer Milan
Year
2007
Tongue
Italian
Weight
319 KB
Volume
56
Category
Article
ISSN
0035-5038

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Existence of solutions for nonlinear ell
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.