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On the eigenvalues of the |
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| Authors: | Yin Xi Huang |
| Affiliation: | Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152 |
| Abstract: | We study the nonlinear eigenvalue problem
where |
| Keywords: | Eigenvalues the $p$-Laplacian |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |
, 
is a bounded smooth domain in 
. We prove that the first and the second variational eigenvalues of (1) are continuous functions of 
. Moreover, we obtain the asymptotic behavior of the first eigenvalue as 
and 
.