The aim of this paper is to show that a supercritical Neumann problem has at least one positive radial solution via recent variational principle and defining an energy functional with a hidden symmetry associated with the problem. Also, we study the problem in the setting of the Heisenberg group \({\mathbb {H}}^n\), which is a special case of locally compact groups.

中文翻译：

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广义超临界Neumann问题的正弱解

本文的目的是通过最近的变分原理显示超临界诺伊曼问题具有至少一个正径向解，并定义一个具有与此问题相关的隐藏对称性的能量函数。此外，我们在Heisenberg群\（{\ mathbb {H}} ^ n \）的设置中研究了该问题，这是局部紧凑群的特殊情况。