Abstract
In this paper, we study the existence of nontrivial solutions and ground state solutions for the second order Hamiltonian systems: $$ \ddot u(t)+A(t)u(t)+\nabla F(t,u(t))=0\ \ \ \ \ \ \mbox{a.e. } t\in [0,T], $$ where $A(t)$ is a $N\times N$ symmetric matrix, continuous and $T$-periodic in $t$. Replacing the classical Ambrosetti-Rabinowitz superquadratic condition by a general superquadratic condition, we prove some existence theorems, which unify and improve some recent results in the literature.
Citation
Yiwei Ye. Chun-Lei Tang. "Periodic solutions for second order Hamiltonian systems with general superquadratic potential." Bull. Belg. Math. Soc. Simon Stevin 21 (1) 1 - 18, february 2014. https://doi.org/10.36045/bbms/1394544291
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