SOLUTION TO BIHARMONIC EQUATION WITH VANISHING POTENTIAL

被引：6

作者：

Bastos, Waldemar D. ^{[1
]}

Miyagaki, Olimpio H. ^{[2
]}

Vieira, Ronei S. ^{[3
]}

机构：

[1] Univ Estadual Paulista, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

[2] Univ Fed Juiz de Fora, BR-36036330 Juiz De Fora, Brazil

[3] Ctr Fed Educ Tecnol Minas Gerais, BR-35503822 Divinopolis, MG, Brazil

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2013年 / 57卷 / 03期

关键词：

POSITIVE SOLUTIONS; ELLIPTIC PROBLEMS; EXISTENCE;

D O I：

10.1215/ijm/1415023513

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：839 / 854

页数：16

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