Multiple equilibrium points in global attractors for some p-Laplacian equations. Issue 9 (4th July 2018)

• Record Type: Journal Article
• Authors: Li, Fang; You, Bo; Zhong, Chengkui
• Is Part Of: Applicable analysis. Volume 97:Issue 9(2018)
• Page Start: 1591
• Page End: 1599
• Publication Date: 2018-07-04
• Subjects: Lyapunov function -- global attractor -- -index -- equilibrium point -- p-Laplacian; 35Q35 -- 35B40 -- 37C60; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1322199
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: In this paper, we continue to study the properties of the global attractor for some p -Laplacian equations with a Lyapunov function F in a Banach space when the origin is no longer a local minimum point but a saddle point of F . By using the abstract result established in our previous work, we prove the existence of multiple equilibrium points in the global attractor for some p -Laplacian equations under some suitable assumptions in the case that the origin is an unstable equilibrium point.