Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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MULTIPLICITY RESULT OF THE SOLUTIONS FOR A CLASS OF THE ELLIPTIC SYSTEMS WITH SUBCRITICAL SOBOLEV EXPONENTS

  • JUNG, TACKSUN (Department of Mathematics Kunsan National University) ;
  • CHOI, Q-HEUNG (Department of Mathematics Education Inha University)
  • Received : 2015.07.17
  • Accepted : 2015.12.03
  • Published : 2015.12.30
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Abstract

This paper is devoted to investigate the multiple solutions for a class of the cooperative elliptic system involving subcritical Sobolev exponents on the bounded domain with smooth boundary. We first show the uniqueness and the negativity of the solution for the linear system of the problem via the direct calculation. We next use the variational method and the mountain pass theorem in the critical point theory.

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Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

References

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