Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups

Date

2016-01-21

Authors

Yu, Haiyan
Zheng, Shenzhou

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too far from 2. We also show a local Holder continuity with an optimal exponent to the solutions.

Description

Keywords

Subelliptic p-Laplace, VMO coefficients, Controllable growth, Morrey regularity, Carnot group

Citation

Yu, H., & Zheng, S. (2016). Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups. <i>Electronic Journal of Differential Equations, 2016</i>(33), pp. 1-14.

Rights

Attribution 4.0 International

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