Sign-Changing Solutions for Nonlinear Operator Equations. (6th March 2014)

• Record Type: Journal Article
• Authors: Sang, Yanbin
• Other Names: Kong Qingkai Academic Editor.
• Is Part Of: Journal of operators. Volume 2014(2014)
• Publication Date: 2014-03-06
• Subjects: Operator theory -- Periodicals; Operator theory; Periodicals; 515.724
• DOI: 10.1155/2014/379056
• Languages: English
• ISSNs: 2314-5064

Abstract

Abstract : The existence of six solutions for nonlinear operator equations is obtained by using the topological degree and fixed point index theory. These six solutions are all nonzero. Two of them are positive, the other two are negative, and the fifth and sixth ones are both sign-changing solutions. Furthermore, the theoretical results are applied to elliptic partial differential equations.