Journal of Integrative Natural Science (통합자연과학논문집)

The Basic Science Institute Chosun University (조선대학교 기초과학연구원)
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Remark for Certain Elliptic PDE with Exponential Nonlinearity in a Bounded Domain

  • Kim, Namkwon (Department of Mathematics, Chosun University)
  • Received : 2013.09.02
  • Accepted : 2013.09.23
  • Published : 2013.09.30
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Abstract

In this note, we are concerned with a class of semi-linear elliptic pdes with exponential nonlinearity in a bounded domain. Here, the nonlinearity is more or less growing exponentially with power p. We consider the problem under two types of Dirichlet boundary condition. We give existence and non-existence of solutions for those problems and some asymptotics.

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References

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