Korean Journal of Mathematics

  • 제18권3호
  • /
  • Pages.277-288
  • /
  • 2010
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  • 1976-8605(pISSN)
  • /
  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

NONLINEAR BIHARMONIC PROBLEM WITH VARIABLE COEFFICIENT EXPONENTIAL GROWTH TERM

  • Choi, Q-Heung (Department of Mathematics Education Inha University) ;
  • Jung, Tacksun (Department of Mathematics Kunsan National University)
  • 투고 : 2010.08.05
  • 심사 : 2010.09.10
  • 발행 : 2010.09.30
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초록

We consider the nonlinear biharmonic equation with coefficient exponential growth term and Dirichlet boundary condition. We show that the nonlinear equation has at least one bounded solution under the suitable conditions. We obtain this result by the variational method, generalized mountain pass theorem and the critical point theory of the associated functional.

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참고문헌

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