Existence of the Eigenvalues for the Cone Degenerate p-Laplacian

被引：0

作者：

Hua Chen

Yawei Wei

机构：

[1] Wuhan University,School of Mathematics and Statistics

[2] Nankai University,School of Mathematical Sciences and LPMC

来源：

Chinese Annals of Mathematics, Series B | 2021年 / 42卷

关键词：

Quasi-linear; Degenerate operator; Variational methods; 35J70; 35J20; 58J05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The present paper is concerned with the eigenvalue problem for cone degenerate p-Laplacian. First the authors introduce the corresponding weighted Sobolev s-paces with important inequalities and embedding properties. Then by adapting Lusternik-Schnirelman theory, they prove the existence of infinity many eigenvalues and eigenfunctions. Finally, the asymptotic behavior of the eigenvalues is given.

引用

页码：217 / 236

页数：19

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