Partial Regularity for Nonlinear Subelliptic Systems with Dini Continuous Coefficients in Heisenberg Groups
Joint Authors
Liao, Dongni
Wang, Jialin
Yu, Zefeng
Hong, Pingzhou
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is concerned with partial regularity to nonlinear subelliptic systems with Dini continuous coefficients under quadratic controllable growth conditions in the Heisenberg group ℍn.
Based on a generalization of the technique of ?-harmonic approximation introduced by Duzaar and Steffen, partial regularity to the sub-elliptic system is established in the Heisenberg group.
Our result is optimal in the sense that in the case of Hölder continuous coefficients we establish the optimal Hölder exponent for the horizontal gradients of the weak solution on its regular set.
American Psychological Association (APA)
Wang, Jialin& Hong, Pingzhou& Liao, Dongni& Yu, Zefeng. 2013. Partial Regularity for Nonlinear Subelliptic Systems with Dini Continuous Coefficients in Heisenberg Groups. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-510700
Modern Language Association (MLA)
Wang, Jialin…[et al.]. Partial Regularity for Nonlinear Subelliptic Systems with Dini Continuous Coefficients in Heisenberg Groups. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-510700
American Medical Association (AMA)
Wang, Jialin& Hong, Pingzhou& Liao, Dongni& Yu, Zefeng. Partial Regularity for Nonlinear Subelliptic Systems with Dini Continuous Coefficients in Heisenberg Groups. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-510700
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510700