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

Yaqin Du, Lei Guo, Bo Hong

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

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.

Original languageEnglish
Title of host publicationRecent Advances in Computer Science and Information Engineering
PublisherSpringer Verlag
Pages787-792
Number of pages6
EditionVOL. 6
ISBN (Print)9783642257773
DOIs
StatePublished - 2012
Event2nd World Congress on Computer Science and Information Engineering, CSIE 2011 - Changchun, China
Duration: 17 Jun 201119 Jun 2011

Publication series

NameLecture Notes in Electrical Engineering
NumberVOL. 6
Volume129 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference2nd World Congress on Computer Science and Information Engineering, CSIE 2011
Country/TerritoryChina
CityChangchun
Period17/06/1119/06/11

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