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math.AP2018
On Conformal Spectral Gap Estimates of the Dirichlet-Laplacian
V. Gol'dshtein, V. Pchelintsev, A. Ukhlov
We study spectral stability estimates of the Dirichlet eigenvalues of the Laplacian in non-convex domains . With the help of these estimates we obtain asymptot…
math.AP2018
Composition Operators on Sobolev Spaces and Neumann Eigenvalues
V. Gol'dshtein, A. Ukhlov
In this paper we discuss applications of the geometric theory of composition operators on Sobolev spaces to the spectral theory of non-linear elliptic operators. The lower estimate…