Boundary partial Holder regularity for elliptic systems with non-standard growth

Date

2018-04-03

Authors

Ok, Jihoon

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Publisher

Texas State University, Department of Mathematics

Abstract

We investigate regular points on the boundaries of elliptic systems with non-standard growth, in particular, so-called Orlicz growth. A regular point on the boundary in this paper is a point for which a weak solution to a system is Holder continuous in a neighborhood. Here, we assume that the boundary of a domain and the boundary data are C1, and that a system has VMO (vanishing mean oscillation) type coefficients.

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Keywords

Partial regularity, Boundary regularity, Elliptic systems, Non-standard growth

Citation

Ok, J. (2018). Boundary partial Holder regularity for elliptic systems with non-standard growth. <i>Electronic Journal of Differential Equations, 2018</i>(84), pp. 1-25.

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Attribution 4.0 International

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