Subharmonic solutions for some nonautonomous Hamiltonian systems with $p(t)$-Laplacian

SUBHARMONIC SOLUTIONS FOR NONAUTONOMOUS SUBLINEAR p–HAMILTONIAN SYSTEMS

Some existence theorems are obtained for subharmonic solutions of nonautonomous p -Hamiltonian systems by the minimax methods in critical point theory. Mathematics subject classification (2010): 34C25.

Subharmonic Solutions for First-order Hamiltonian Systems

In this article, we study the existence of periodic and subharmonic solutions for a class of non-autonomous first-order Hamiltonian systems such that the nonlinearity has a growth at infinity faster than |x|α, 0 ≤ α < 1. We also study the minimality of periods for such solutions. Our results are illustrated by specific examples. The proofs are based on the least action principle and a generaliz...

On periodic solutions of nonautonomous second order Hamiltonian systems with ( q , p ) - Laplacian

A new existence result is obtained for nonautonomous second order Hamiltonian systems with (q, p)-Laplacian by using the minimax methods.

Existence of Subharmonic Solutions for a Class of Second-Order p-Laplacian Systems with Impulsive Effects

New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms

This paper is concerned with the following elliptic system:$$ left{ begin{array}{ll} -triangle u + b(x)nabla u + V(x)u=g(x, v), -triangle v - b(x)nabla v + V(x)v=f(x, u), end{array} right. $$ for $x in {R}^{N}$, where $V $, $b$ and $W$ are 1-periodic in $x$, and $f(x,t)$, $g(x,t)$ are super-quadratic. In this paper, we give a new technique to show the boundedness of Cerami sequences and estab...