Acta mathematica scientia, Series B >
MULTIPLE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC EQUATIONS INVOLVING NATURAL GROWTH TERM
Received date: 2009-07-13
Revised date: 2010-03-03
Online published: 2011-05-20
Supported by
Project supported by the National Science Foundation of China (10771074; 10801055) and Doctoral Program of NEM of China (200805611026).
In this article, under some conditions on the behaviors of the perturbed function f(x, s) or its primitive F(x, s)=∫0s f(x, t)dt near infinity and near zero, a class of asymptotically linear elliptic equations involving natural growth term is studied. By computing the critical group, the existence of three nontrivial solutions is proved.
ZHANG Yi-Min , SHEN Yao-Tian . MULTIPLE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC EQUATIONS INVOLVING NATURAL GROWTH TERM[J]. Acta mathematica scientia, Series B, 2011 , 31(3) : 909 -924 . DOI: 10.1016/S0252-9602(11)60285-3
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