Variational approach for a p-Laplacian boundary value problem on time scales. Issue 13 (3rd October 2018)

• Record Type: Journal Article
• Authors: Su, You-Hui; Feng, Zhaosheng
• Is Part Of: Applicable analysis. Volume 97:Issue 13(2018)
• Page Start: 2269
• Page End: 2287
• Publication Date: 2018-10-03
• Subjects: Time scales -- variational structure -- p-Laplacian -- boundary value problem -- periodic solution -- critical point theorem; 35M12 -- 34B15 -- 65L10; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1359566
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: In this paper, we study a second-order p -Laplacian dynamic equation on a periodic time scale subject to certain boundary value conditions. The variational structure of the above-mentioned boundary value problem is presented. Some new results on the existence of at least one or three distinct periodic solutions are established by means of the saddle point theorem, the least action principle as well as the three critical point theorem.