In this paper, by means of minimax techniques involving Cerami sequences, we prove the existence of at least one pair of positive solutions for a Hamiltonian system of Schrödinger equations in ℝN with potentials vanishing at infinity and subcritical nonlinearities which are superlinear at the origin and at infinity. We establish new estimates to prove the boundedness of a Cerami sequence.

中文翻译：

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具有消失势的薛定谔方程的哈密顿系统

在本文中，通过涉及 Cerami 序列的极小极大技术，我们证明了薛定谔方程的哈密顿系统至少存在一对正解ℝñ具有在无穷远处消失的势能和在原点和无穷远处超线性的亚临界非线性。我们建立了新的估计来证明 Cerami 序列的有界性。