| Volume 8, Number 3, 2018, Pages 1021-1032 DOI：10.11948/2018.1021 |
| Global higher integrability of solutions to subelliptic double obstacle problems |
| Guangwei Du,Fushan Li |
| Keywords:Global higher integrability, subelliptic equation, double obstacle problems. |
| Abstract: |
| In this paper we consider the double obstacle problems associated with nonlinear subelliptic equation
\[X^*A(x,u,Xu)+ B(x,u,Xu)=0, \ \ x\in\Omega,\]
where $X=(X_1,\ldots,X_m)$ is a system of smooth vector fields defined in $\mathbb{R}^n$ satisfying H\"{o}rmander""s condition. The global higher integrability for the gradients of the solutions is obtained under a capacitary assumption on the complement of the domain $\Omega$. |
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