Geodesic
Continuity of eigenvalues of the Laplace operator according to domain
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2015), pp. 35-39 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new proof of the following fact is proposed. The eigenvalues of the Laplace–Dirichlet operator are continious as functions in the corresponding space in domains satisfying uniform cone condition. The author's approach to this problem is based on a topological version of the upper (lower) limit for sequences of sets. 
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     author = {I. V. Tsylin},
     title = {Continuity of eigenvalues of the {Laplace} operator according to domain},
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     pages = {35--39},
     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_3_a6/}
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I. V. Tsylin. Continuity of eigenvalues of the Laplace operator according to domain. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2015), pp. 35-39. http://geodesic.mathdoc.fr/item/VMUMM_2015_3_a6/

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