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Source: St. Petersburg Mathematical Journal. 2020. Vol. 31, № 2. P. 325-335
Type: статьи в журналах
Date: 2020
Description:
We study spectral stability estimates of the Dirichlet eigenvalues of the Laplacian in nonconvex domains . With the help of these estimates, we obtain asymptotically sharp inequalities of ratios of ei
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Source: Journal of spectral theory. 2020. Vol. 10. P. 337-353
Type: статьи в журналах
Date: 2020
Description:
In this paper we apply estimates of the norms of Sobolev extension operators to the spectral estimates of of the first nontrivial Neumann eigenvalue of the Laplace operator in non-convex extension dom
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Source: Международная конференция по геометрическому анализу в честь 90-летия академика Ю. Г. Решетняка, 22-28 сентября 2019 : тезисы докладов. Новосибирск, 2019. С. 56-57
Type: статьи в сборниках
Date: 2019
Source: Differential equations, mathematical physics, and applications: Selim Grigorievich Krein centennial. Providence, 2019. P. 129-144
Type: статьи в сборниках
Date: 2019
Description:
In this paper we study spectral properties of the Neumann-Laplace operator in planar quasiconformal regular domains Ω⊂R2. This study is based on the quasiconformal theory of composition operators on S
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Source: Bollettino dell'Unione Matematica Italiana. 2018. Vol. 11, № 2. P. 245-264
Type: статьи в журналах
Date: 2018
Description:
In this paper we obtain lower estimates for the first non-trivial eigenvalue of the p-Laplace Neumann operator in bounded simply connected planar domains Ω⊂R2 . This study is based on a quasiconformal
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