Solution to bilharmonic equation with vanishing potential
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Data
2013-09-01
Autores
Bastos, Waldemar D. [UNESP]
Miyagaki, Olimpio H.
Vieira, Ronei S.
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Univ Illinois Urbana-champaign
Resumo
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.
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Illinois Journal Of Mathematics. Urbana: Univ Illinois Urbana-champaign, v. 57, n. 3, p. 839-854, 2013.