加权p-harmonic方程解的整体分支结构

Global bifurcation structure for the p-harmonic equation in the weighted Sobolev space

利用加权索伯列夫空间中的p-harmonic方程非线性特征值问题的相关结果,Leray-Schauder度理论以及标准分支定理,讨论了加权p-harmonic方程初值问题的解的整体分支结构.

This paper uses the relative results about the nonlinear eigenvalue problem for the p-harmonic equation in the weighted Sobolev space, and Leray-Schauder degree theory and the standard global bifurcation theory. And it discusses the global bifurcation result for the p-harmonic equation in the weighted Sobolev space.