A. Ukhlov

activity

20072026

most citedOn the First Eigenvalues of Free Vibrating Membrane in Conformal Regular Domains

49 citations · 101 across the 51 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.SP2014★ 14 cited

Conformal spectral stability for the Dirichlet-Laplace operator

Victor Burenkov, Vladimir Gol'dshtein, Alexander Ukhlov

We study the eigenvalue problem for the Dirichlet Laplacian in bounded simply connected plane domains $Ω \subset C$ using conformal transformations of the original problem t…

math.FA2014

Boundary Values of Functions of Dirichlet Spaces $L_{2}^{1}$ on Capacitary Boundaries

Vladimir Gol'dshtein, Alexander Ukhlov

We prove that any weakly differentiable function with square integrable gradient can be extended to a capacitary boundary of any simply connected plane domain $Ω \neq = R^{2}$ exc…

Conformal spectral stability for the Dirichlet-Laplace operator

Boundary Values of Functions of Dirichlet Spaces L21​ on Capacitary Boundaries

Boundary Values of Functions of Dirichlet Spaces $L_{2}^{1}$ on Capacitary Boundaries