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- Title
Partial regularity up to the boundary for solutions of subquadratic elliptic systems.
- Authors
Tan, Zhong; Wang, Yanzhen; Chen, Shuhong
- Abstract
In this paper, we are concerned with the nonlinear elliptic systems in divergence form under controllable growth condition. We prove that the weak solution u is locally Hölder continuous besides a singular set by using the direct method and classical Morrey-type estimates. Here the Hausdorff dimension of the singular set is less than n - p {n-p}. This result not only holds in the interior, but also holds up to the boundary.
- Subjects
ELLIPTIC equations; NONLINEAR systems; FRACTAL dimensions; MATHEMATICAL analysis; MATHEMATICAL models
- Publication
Advances in Nonlinear Analysis, 2018, Vol 7, Issue 4, p469
- ISSN
2191-9496
- Publication type
Article
- DOI
10.1515/anona-2016-0054