Shock Solution for a Class of Nonlinear Elliptic Equation

作     者：CHEN Lihua YAO Jingsun MO Jiaqi 

作者机构：Department of Mathematics and Computer Science Fuqing Branch of Fujian Normal University Fuqing 350300 Fujian China Department of Mathematics Anhui Normal University Wuhu 241003 Anhui China Division of Computational Science E-Institutes of Shanghai Universities at SJTU Shanghai 200240 China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2011年第16卷第4期

页      面：282-284页

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

基　　金：Supported by the National Natural Science Foundation of China (40876010) the LASG State Key Laboratory Special Fund of China the Foundation of E-Institutes of Shanghai Municipal Education Commission (E03004) the Foundation of the Education Department of Fujian Province (JA10288) the Natural Science Foundation of Zhejiang Province (Y6090164) the Natural Science Foundation of the Education Bureau of Anhui Province (KJ2011A135) 

主　　题：shock elliptic equation asymptotic solution 

摘      要：The boundary value problem for the nonlinear elliptic equation is considered. The outer solution for the original problem is obtained. The boundary and interior layer correction terms are constructed by introducing stretched variables and setting local coordinate systems near the boundary and interior discontinuous point of outer solution. Under suitable conditions, using the differential inequalities and the mean value theorem, the existence of the shock solution for boundary value problem is proved and the asymptotic behavior of the solution is studied.