SEMILINEAR ELLIPTIC EQUATIONS WITH DEPENDENCE ON THE GRADIENT

被引：0

作者：

Liu, Guanggang ^{[1
]}

Shi, Shaoyun ^{[1
]}

Wei, Yucheng ^{[1
,2
]}

机构：

[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

[2] Hechi Univ, Dept Math, Yizhou 546300, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Semilinear equation; Morse theory; critical group; iterative method; EXISTENCE THEOREMS; FORM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we consider elliptic equations whose nonlinear term depends on the gradient of the unknown. We assume that the nonlinearity has a asymptotically linear growth at zero and at infinity with respect to the second variable. By applying Morse theory and an iterative method, we prove the existence of nontrivial solutions.

引用

页数：9

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