Abstract

We give a general and weak sufficient condition that is very close to a necessary and sufficient condition for the existence of a sequence of solutions converging to zero for the partial differential equations known as the \(p\)-Laplacian Hamiltonian systems. An application is also given to illustrate our main theoretical result.

中文翻译：

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一类 $$p$$ -Laplacian Hamiltonian 系统的弱条件

摘要

我们给出了一个一般的弱充分条件，它非常接近于偏微分方程存在收敛为零的解序列的必要和充分条件，称为\(p\)-拉普拉斯哈密顿系统。还给出了一个应用来说明我们的主要理论结果。