Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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POSITIVE SOLUTIONS ON NONLINEAR BIHARMONIC EQUATION

  • Choi, Q-Heung (Department of Mathematics Inha University) ;
  • Jung, Tacksun (Department of Mathematics Kunsan National University)
  • Received : 1996.10.16
  • Published : 1997.02.28
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Abstract

In this paper we investigate the existence of positive solutions of a nonlinear biharmonic equation under Dirichlet boundary condition in a bounded open set ${\Omega}$ in $\mathbf{R}^n$, i.e., $${\Delta}^2u+c{\Delta}u=bu^{+}+s\;in\;{\Omega},\\u=0,\;{\Delta}u=0\;on\;{\partial}{\Omega}$$.

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