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Regularity of solutions of degenerate -harmonic equations

โœ Scribed by Flavia Giannetti; Luigi Greco; Antonia Passarelli di Napoli

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
421 KB
Volume
73
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

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 valid in the uniformly elliptic setting.

๐Ÿ“œ SIMILAR VOLUMES

Singularity and regularity of solutions
Singularity and regularity of solutions to a certain class of degenerate elliptic equations
โœ Zhu Xiangrong ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 442 KB

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