Periodic solutions for second-order Hamiltonian systems with the p-Laplacian
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Date
2006-10-19
Authors
Tian, Yu
Ge, Weigao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we investigate the periodic solutions of Hamiltonian system with the p-Laplacian. By using Mountain Pass Theorem the existence of at least one periodic solution is obtained, Furthermore, under suitable assumptions, we obtain the existence of infinitely many solutions via Z2-symmetric version of the Mountain Pass Theorem.
Description
Keywords
Hamiltonian system, p-Laplacian, Mountain Pass Theorem, Periodic solution
Citation
Tian, Y., & Ge, W. (2006). Periodic solutions for second-order Hamiltonian systems with the p-Laplacian. <i>Electronic Journal of Differential Equations, 2006</i>(134), pp. 1-12.
Rights
Attribution 4.0 International