Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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DIRICHLET BOUNDARY VALUE PROBLEM FOR A CLASS OF THE ELLIPTIC SYSTEM

  • Jung, Tacksun (Department of Mathematics Kunsan National University) ;
  • Choi, Q-Heung (Department of Mathematics Education Inha University)
  • Received : 2014.09.24
  • Accepted : 2014.11.10
  • Published : 2014.11.15
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Abstract

We get a theorem which shows the existence of at least three solutions for some elliptic system with Dirichlet boundary condition. We obtain this result by using the finite dimensional reduction method which reduces the infinite dimensional problem to the finite dimensional one. We also use the critical point theory on the reduced finite dimensioal subspace.

Keywords

Acknowledgement

Supported by : Kunsan National University's

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