Solution to biharmonic equation with vanishing potential
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2013-01-01
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Bastos, Waldemar D. [UNESP]
Miyagaki, Olimpio H.
Vieira, Rônei S.
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We establish a result on the existence of nontrivial solution for the following class of biharmonic elliptic equation where Δ2u = Δ(Δu), 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.
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Illinois Journal of Mathematics, v. 57, n. 3, p. 839-854, 2013.