Sharper estimates for the eigenvalues of the Dirichlet fractional Laplacian on planar domains
In this article, we study the eigenvalues of the Dirichlet fractional Laplacian operator $(-\Delta)^{\alpha/2}$, $0<\alpha<1$, restricted to a bounded planar domain $\Omega\subset \mathbb{R}^2$. We establish new sharper lower bounds in the sense of the Weyl law for the of sums of eigenvalu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/165/abstr.html |
| Summary: | In this article, we study the eigenvalues of the
Dirichlet fractional Laplacian operator $(-\Delta)^{\alpha/2}$,
$0<\alpha<1$, restricted to a bounded planar domain
$\Omega\subset \mathbb{R}^2$. We establish new sharper lower bounds
in the sense of the Weyl law for the of sums of eigenvalues,
which advance the recent results obtained in several articles even
in a more general setting. |
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| ISSN: | 1072-6691 |