MULTIPLE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC EQUATIONS INVOLVING NATURAL GROWTH TERM

In this article, under some conditions on the behaviors of the perturbed function f（x, s） or its primitive F（x,s） =∫so 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...

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Veröffentlicht in:	Acta mathematica scientia 2011-05, Vol.31 (3), p.909-924
Hauptverfasser:	Zhang, Yimin, Shen, Yaotian
Format:	Artikel
Sprache:	eng
Schlagworte:	35H30 35J20 Asymptotic properties Computation critical group Infinity Mathematical analysis Mathematical models non-smooth Morse theory singular homology group weak slope 增长率多解扰动函数期限椭圆方程渐近线性自然增长非平凡解
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Zusammenfassung:	In this article, under some conditions on the behaviors of the perturbed function f（x, s） or its primitive F（x,s） =∫so 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.
ISSN:	0252-9602 1572-9087
DOI:	10.1016/S0252-9602(11)60285-3