49 citations · 101 across the 51 of their papers we have counts for
6 papers · 2 filters
Sobolev Extension Operators and Neumann Eigenvalues
V. Gol'dshtein, V. Pchelintsev, A. Ukhlov
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-…
Space Quasiconformal Mappings and Neumann Eigenvalues in Fractal Domains
V. Gol'dshtein, R. Hurri-Syrjänen, A. Ukhlov
We study the variation of the Neumann eigenvalues of the -Laplace operator under quasiconformal perturbations of space domains. This study allows to obtain lower estimates of th…
On the First Eigenvalue of the Degenerate -Laplace Operator in Non-Convex Domains
V. Gol'dshtein, V. Pchelintsev, A. Ukhlov
In this paper we obtain lower estimates of the first non-trivial eigenvalues of the degenerate -Laplace operator, , in a large class of non-convex domains. This study is ba…
Spectral Properties of the Neumann-Laplace operator in Quasiconformal Regular Domains
V. Gol'dshtein, V. Pchelintsev, A. Ukhlov
In this paper we study spectral properties of the Neumann-Laplace operator in planar quasiconformal regular domains . This study is based on the quasiconformal…
Spectral Estimates of the -Laplace Neumann operator and Brennan's Conjecture
Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov
In this paper we obtain estimates for the first nontrivial eigenvalue of the -Laplace Neumann operator in bounded simply connected planar domains . This stu…
Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian
Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov
In this paper we study integral estimates of derivatives of conformal mappings of the unit disc onto bounded domains that satisfy…