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

Main Article Content

Tacksun Jung
Q-Heung Choi

Abstract

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.


Article Details

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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