Zhiyong Wang
Abstract:
In this article, we study the existence of subharmonic
solutions to the non-autonomous second-order sublinear Hamiltonian
systems with p-Laplacian. Introducing some kinds of control
functions, infinitely many subharmonic solutions are obtained by
using the minimax methods in critical point theory. We point out
that our results are new even in the case p=2.
Submitted August 1, 2011. Published October 20, 2011.
Math Subject Classifications: 34B15, 34K13, 58E30.
Key Words: Control functions; subharmonic solutions;
p-Laplacian systems; minimax methods.
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Zhiyong Wang Department of Mathematics Nanjing University of Information Science & Technology Nanjing 210044, Jiangsu, China email: mathswzhy1979@gmail.com |
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