We study the regularity of solutions to degenerate A-harmonic equations under suitable integrability assumptions on the ellipticity and growth coefficients. In particular we show a self-improving property of the gradient of the solutions, extending previous results by Gehring and Iwaniec-Sbordone va
โฆ LIBER โฆ
Regularity of solutions to degenerate -Laplacian equations
โ Scribed by Cruz-Uribe, David; Moen, Kabe; Naibo, Virginia
- Book ID
- 118157842
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 340 KB
- Volume
- 401
- Category
- Article
- ISSN
- 0022-247X
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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