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http://dx.doi.org/10.11568/kjm.2015.23.3.379

NONLINEAR BIHARMONIC EQUATION WITH POLYNOMIAL GROWTH NONLINEAR TERM  

JUNG, TACKSUN (Department of Mathematics Kunsan National University)
CHOI, Q-HEUNG (Department of Mathematics Education Inha University)
Publication Information
Korean Journal of Mathematics / v.23, no.3, 2015 , pp. 379-391 More about this Journal
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.
Keywords
Biharmonic boundary value problem; polynomial growth; variational method; generalized mountain pass geometry; critical point theory; (P.S.) condition;
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