Geodesic
Estimates for the first eigenvalue of the Sturm–Liouville problem with potentials in weighted spaces
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 32 (2019) no. 32, pp. 162-190 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the Sturm–Liouville problem on the interval $[0,1]$ with the Dirichlet boundary conditions and a weighted integral condition on the potential function, which allows the potential to have singularities of different orders at the end-points. For some values of the parameters of the weight functions, estimates are obtained for the first eigenvalue of this problem, and a method is proposed for finding precise bounds for this eigenvalue in some cases. 
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S. S. Ezhak; M. Yu. Telnova. Estimates for the first eigenvalue of the Sturm–Liouville problem with potentials in weighted spaces. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 32 (2019) no. 32, pp. 162-190. http://geodesic.mathdoc.fr/item/TSP_2019_32_32_a7/

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