The existence of three nontrivial solutions of a class of partial elliptic equations

Yaqin Du, Lei Guo, Bo Hong

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

A class of nonlinear partial elliptic equations is studied in this paper. At first, the functional φ can be established according to the elliptic equations, and the critical points of the functionalφ are the solutions of the elliptic system. Second, special linking theorem for the equations is constructed under some conditions, and the minimax theorem is used. At last the functional φ can be proved to have at least three critical points. So we can have a conclusion that there has been at least three nontrivial solutions of a class of elliptic equations.

源语言英语
主期刊名Recent Advances in Computer Science and Information Engineering
出版商Springer Verlag
787-792
页数6
版本VOL. 6
ISBN(印刷版)9783642257773
DOI
出版状态已出版 - 2012
活动2nd World Congress on Computer Science and Information Engineering, CSIE 2011 - Changchun, 中国
期限: 17 6月 201119 6月 2011

出版系列

姓名Lecture Notes in Electrical Engineering
编号VOL. 6
129 LNEE
ISSN(印刷版)1876-1100
ISSN(电子版)1876-1119

会议

会议2nd World Congress on Computer Science and Information Engineering, CSIE 2011
国家/地区中国
Changchun
时期17/06/1119/06/11

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