Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi, 710072, P.R. China. Email: yzx8047@yahoo.com.cn
AMS subject classification: 35J65, 35D05.
The aim of this paper is to study solutions in for Dirichlet problem of p-Laplace equations (1 < p ≤ n) with nonhomogeneous term. Using the explicit construction of local barrier functions and Perron method, we prove the existence of solutions under the condition that the boundary of the domain possesses positive mean curvature.
p-Laplace equation, Dirichlet problem, barrier function, supersolution and subsolution
