Shock solution for a class of nonlinear elliptic equation |
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| Authors: | Lihua Chen Jingsun Yao Jiaqi Mo |
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| Affiliation: | CHEN Lihua1,YAO Jingsun2,MO Jiaqi2,3 1. Department of Mathematics and Computer Science,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian,China,2. Department of Mathematics,Anhui Normal University,Wuhu 241003,Anhui,3. Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240 |
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| Abstract: | 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 th... |
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| Keywords: | shock elliptic equation asymptotic solution |
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