On a Poincaré type formula for solutions of singular and degenerate elliptic equations
✍ Scribed by Alberto Farina; Berardino Sciunzi; Enrico Valdinoci
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 144 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0025-2611
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📜 SIMILAR VOLUMES
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.
In this note we consider the solution of the degenerate elliptic system where B 1 denotes the unit ball in R n and F is smooth and increasing on [0, 1] with to this elliptic system. Here we will study the property of u at the origin. At first we give the necessary and sufficient condition such th
~ eivcd 26 /"ehruatT /996. received tn rt 'vised lorm 13 ~larch 1996. re(ezv(.d l, r puhli('ation 27 Vov('mher 199¢~) k¢.v w.rd,~ am/ phrase,: t!ntire solutions, semilinear elltptic equations, upper and lower solution method I. INTRODU('TI(.)N ANI) RI!SUI.TS = (1 + Ix'12) '+~°t w(x)-~ -> (1 + Ix']2)