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1. Partial regularity for subquadratic homogeneity elliptic system with VMO-coefficients.

Author

Tan, Zhong and Wang, Yanzhen

Subjects
*OSCILLATIONS, *ELLIPTIC differential equations, *DIVERGENCE theorem, *SET theory, *APPROXIMATION theory, *FRACTAL dimensions
Abstract

In this paper, we are concerned with subquadratic homogeneity elliptic problems with VMO-coefficients in divergence form. We obtain that the weak solution u is locally Hölder continuous besides a singular set by using A -harmonic approximation, where the Hölder exponent α ∈ ( 0 , 1 ) . The Hausdorff dimension of the singular set is less than n − p . [ABSTRACT FROM AUTHOR]

Published
2017
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