Oblique derivative problems for nonlinear elliptic systems with measurable coefficients

作     者：Guochun WEN and Zuoliang XU Department of Mathematics, Peking University, Beijing 100871, China Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, China 

作者机构：Department of Mathematics Peking University Beijing 100871 China Institute of Computational Mathematics and Scientific/Engineen:ng Computing Chinese Academy of Sciences Beijing 100080 China 

出 版 物：《Communications in Nonlinear Science and Numerical Simulation》 (非线性科学与数值模拟通讯(英文版))

年 卷 期：2001年第6卷第2期

页      面：93-96页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：oblique derivative problems nonlinear elliptic systems multiply connected domains 

摘      要：An oblique derivative boundary value Problem for nonlinear nondivergent elliptic systems with measurable coefficients in a multiply connected domain is considered. Firstly, we give a priori estimates of solutions for the boundary value problem, and then by using the above estimates of solutions, and the Leray-Schauder theorem, the existence and uniqueness of solutions for the proposed problem are proved.