Solution to bilharmonic equation with vanishing potential

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

We establish a result on the existence of nontrivial solution for the following class of biharmonic elliptic equation[GRAPHICS]where Delta(2)u = Delta(Delta u), V and K are nonnegative potentials. K vanishes at infinity and f has a subcritical growth at infinity. The technique used here is the variational approach.