Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term

被引：0
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作者：
Dongdong Nie
Feng Xie
机构：
[1] Donghua University,Department of Applied Mathematics
来源：
Boundary Value Problems | / 2016卷
关键词：
singular perturbation; asymptotic expansion; boundary layer function; maximum principle; 35B25; 35C20; 35J15;
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摘要：
A class of singularly perturbed semilinear elliptic boundary value problems with discontinuous source term on two different domains is considered in this article. The formal asymptotic solution is constructed by using the method of boundary layer functions. Furthermore, the uniform validity of the solutions is proved by using the maximum principle. Finally, as an illustration, an example is presented.
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