Hölder continuity for nonlinear sub-elliptic systems with sub-quadratic growth
Hölder continuity for nonlinear sub-elliptic systems with sub-quadratic growth
复制标题
DOI：
10.1007/s13398-014-0162-x
复制
发表时间：
2014-01
期刊：
影响因子：
--
通讯作者：
Jialin Wang;Dongni Liao;Zhenhua Guo;Zefeng Yu;Shimin Wu
中科院分区：
文献类型：
--
作者：
Jialin Wang;Dongni Liao;Zhenhua Guo;Zefeng Yu;Shimin Wu
本文研究了次二次自然增长条件下非线性次椭圆组弱解的部分正则性。我们首先建立了一个与Hörmander向量场有关的Soblev-Poincaré型不等式。然后利用调和逼近方法，建立了系统弱解的梯度具有最优局部Hölder指数的部分Hölder连续性.
This paper is concerned with partial regularity of weak solutions to nonlinear sub-elliptic systems under sub-quadratic natural growth conditions. We begin with establishing a Sobolev-Poincaré type inequality associated with Hörmander’s vector fields forwith. Then-harmonic approximation method is applied, and partial Hölder continuity with optimal local Hölder exponent for gradients of weak solutions to the systems is established.