当前位置: X-MOL 学术Bound. Value Probl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group
Boundary Value Problems ( IF 1.7 ) Pub Date : 2021-04-07 , DOI: 10.1186/s13661-021-01516-7
Duan Wu , Pengcheng Niu

The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group $H^{n}$ . We first derive a critical inequality in $H^{n}$ . Based on it, we establish a Picone-type differential inequality and a Sturm-type comparison principle. Then we obtain an oscillation theorem. Our result generalizes the related conclusions for the nonlinear elliptic equations in $R^{n}$ .

中文翻译:

Heisenberg群中非线性退化椭圆方程的振动性定理。

本文的目的是研究Heisenberg群$ H ^ {n} $中非线性退化椭圆型方程解的振动性。我们首先导出$ H ^ {n} $中的关键不等式。在此基础上,我们建立了Picone型微分不等式和Sturm型比较原理。然后我们得到一个振荡定理。我们的结果概括了$ R ^ {n} $中非线性椭圆方程的相关结论。
更新日期:2021-04-08
down
wechat
bug