Yildirim, SelmaYolcu, Turkay2022-03-072022-03-072018-09-12Yildirim, S., & Yolcu, T. (2018). Sharper estimates for the eigenvalues of the Dirichlet fractional Laplacian on planar domains. <i>Electronic Journal of Differential Equations, 2018</i>(165), pp. 1-14.1072-6691https://hdl.handle.net/10877/15459In this article, we study the eigenvalues of the Dirichlet fractional Laplacian operator (-∆)α/2, 0 < α < 1, restricted to a bounded planar domain Ω ⊂ ℝ2. 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 in a more general setting.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalFractional LaplacianStable processesEigenvalueArticle