Existence of the Eigenvalues for the Cone Degenerate p-Laplacian

被引：0
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作者：
Hua CHEN [1 ]
Yawei WEI [2 ]
机构：
[1] School of Mathematics and Statistics, Wuhan University
[2] School of Mathematical Sciences and LPMC, Nankai
来源：
Chinese Annals of Mathematics,Series B | 2021年 / 02期
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摘要：
The present paper is concerned with the eigenvalue problem for cone degenerate p-Laplacian. First the authors introduce the corresponding weighted Sobolev spaces with important inequalities and embedding properties. Then by adapting LusternikSchnirelman theory, they prove the existence of infinity many eigenvalues and eigenfunctions. Finally, the asymptotic behavior of the eigenvalues is given.
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页码：217 / 236
页数：20
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