Boundary partial Holder regularity for elliptic systems with non-standard growth
Files
Date
2018-04-03
Authors
Ok, Jihoon
Journal Title
Journal ISSN
Volume Title
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.
Description
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.
Rights
Attribution 4.0 International