Regularity results for the gradient of solutions of a class of linear elliptic systems with data
✍ Scribed by G.R. Cirmi; S. Leonardi; J. Stará
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 380 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
The aim of this paper is to study the regularity of the solutions of problems like (1). The main result is to show that if u is a solution of (1) such that the function w = e µ|u| -1 µ sign(u) belongs to W 1,p 0 (Ω), where µ is some constant, then u is actually Hölder continuous. Then the same resul
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## Dedicated to the memory of Leonid R. Volevich Let X = (X1, . . . , Xm) be an infinitely degenerate system of vector fields. We study the existence and regularity of multiple solutions of the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic operators associated with th