摘要
In this paper, the solvability of singular one dimensional p-Laplacian-like equation with Neumann boundary conditions is considered. Under certain conditions on the operator and the nonlinear term which allows singularity, the sufficient and necessary condition for the existence of the solution to the problem is obtained. The main method is based on a-priori estimate for the lower bound of solutions, truncation arguments and the Schauder's fixed point theorem.
In this paper, the solvability of singular one dimensional p-Laplacian-like equation with Neumann boundary conditions is considered. Under certain conditions on the operator and the nonlinear term which allows singularity, the sufficient and necessary condition for the existence of the solution to the problem is obtained. The main method is based on a-priori estimate for the lower bound of solutions, truncation arguments and the Schauder's fixed point theorem.
基金
the Youth Fund of USTC, Thud of Chinese Academy of Sciences and the National Natural Science Foundation of China (No.10071080)
