%0 Journal Article
%T A probabilistic approach to Dirichlet problems of semilinear elliptic PDEs with singular coefficients
%A Tusheng Zhang
%J Mathematics
%D 2012
%I arXiv
%R 10.1214/10-AOP591
%X In this paper, we prove that there exists a unique solution to the Dirichlet boundary value problem for a general class of semilinear second order elliptic partial differential equations. Our approach is probabilistic. The theory of Dirichlet processes and backward stochastic differential equations play a crucial role.
%U http://arxiv.org/abs/1211.3820v1