REGULARITY OF SOLUTIONS TO THE DIRICHLET PROBLEM FOR DEGENERATE ELLIPTIC EQUATION

Citation:

CHEN Yemin.REGULARITY OF SOLUTIONS TO THE DIRICHLET PROBLEM FOR DEGENERATE ELLIPTIC EQUATION[J].Chinese Annals of Mathematics B,2003,24(4):529~540
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Authors:

CHEN Yemin;
Abstract: In this paper, the author studies the regularity of solutions to the Dirichlet problem for equation $Lu=f$, where $L$ is a second order degenerate elliptic operator in divergence form in $\om$, a bounded open subset of $\Rn$ $(n\ge 3)$.

Keywords:

Regularity, Dirichlet problem, Degenerate, Weighted spaces

Classification:

35B65, 35J25, 35J70
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