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Using dual method we establish the existence of nodal ground state solutionfor the following class of problems $$ \left\{ \begin{array}{l} \Delta^2 u =f(u), \quad \mbox{in} \quad \Omega, \\ u =Bu=0,\quad\mbox{on} \quad \partial\Omega \end{array} \right. $$ where $\Delta^2$ is the biharmonic operator,$B=\Delta$ or $B=\dfrac{\partial}{\partial \nu}$ and $f$ is a $C^1$-functionhaving subcritical growth.

Nodal ground state solution to a biharmonic equation via dual method