论文标题

对于半线性下层次方程的dirichlet问题解决方案的存在和多样性,并带有自由扰动

Existence and multiplicity of solutions to Dirichlet problem for semilinear subelliptic equation with a free perturbation

论文作者

Chen, Hua, Chen, Hong-Ge, Yuan, Xin-Rui

论文摘要

本文与自由扰动项的半线性下层次方程的存在和多样性结果有关。通过使用简单的rellich-kondrachov紧凑型定理,对于有限退化的椭圆算子和minimax方法的dirichlet特征值的精确下限估计值,我们获得了问题的弱解决方案的存在和多重性。

This paper is concerned with existence and multiplicity results for the semilinear subelliptic equation with free perturbation term. By using the degenerate Rellich-Kondrachov compact embedding theorem, precise lower bound estimates of Dirichlet eigenvalues for the finitely degenerate elliptic operator and minimax method, we obtain the existence and multiplicity of weak solutions for the problem.

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