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Everywhere Hölder Continuity of Solutions of Certain Degenerate Elliptic Systems

✍ Scribed by Yu Mingqi; Liang Xiting

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
195 KB
Volume
203
Category
Article
ISSN
0022-247X

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✦ Synopsis

Consider on G a degenerate elliptic system in diagonal form of which solutions are in a weighted Sobolev space with weight function that belongs to the Muckenhoupt class A A and characteristic values of the leading coefficient matrix that are 2 proportional to a positive power of the modulus of the unknown solution. The everywhere Holder continuity in the interior of G is proved to bounded solutions.

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