Optimal boundary regularity for nonlinear singular elliptic equations

作者：Jian Huaiyu^*; Wang Xu jia

来源：Advances in Mathematics, 2014, 251: 111-126.

DOI：10.1016/j.aim.2013.10.009

• Elliptic equation
• Boundary regularity

In this paper we prove the optimal boundary regularity under natural structural conditions for a large class of nonlinear elliptic equations with singular terms near the boundary. By a careful construction of super- and sub-solutions, we obtain precise growth estimates for solutions at the boundary and reduce the boundary regularity to the interior one by a rescaling argument.

• 出版日期2014-1-30
• 单位清华大学