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Singularity and regularity of solutions to a certain class of degenerate elliptic equations

✍ Scribed by Zhu Xiangrong

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 442 KB
Volume: 71
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2008.10.130

No coin nor oath required. For personal study only.

✦ Synopsis

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 that u can be extended to a continuous function in B. Furthermore, we also give the necessary and sufficient condition such that u is a Hölder continuous function in B 1 .

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