Korean J. Math. Vol. 23 No. 3 (2015) pp.379-391
DOI: https://doi.org/10.11568/kjm.2015.23.3.379

Nonlinear biharmonic equation with polynomial growth nonlinear term

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Tacksun Jung
Q-Heung Choi


We investigate the existence of solutions of the nonlinear biharmonic equation with variable coefficient polynomial growth nonlinear term and Dirichlet boundary condition. We get a theorem which shows that there exists a bounded solution and a large norm solution depending on the variable coefficient. We obtain this result by variational method, generalized mountain pass geometry and critical point theory.

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Supporting Agencies

This work was financially supported by the Kunsan National University’s re- search program for faculty member in the year 2014.


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