49 citations · 101 across the 51 of their papers we have counts for
5 papers · 2 filters
The volume of the boundary of a Sobolev -extension domain
Pekka Koskela, Alexander Ukhlov, Zheng Zhu
Let and $1\leq q<p<\fz$. We prove that if is a Sobolev -extension domain, with additional capacitory restrictions on boundary in the case $q…
Estimates of Dirichlet eigenvalues of divergent elliptic operators in non-Lipschitz domains
Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov
We study spectral estimates of the divergence form uniform elliptic operators with the Dirichlet boundary condition in bounded non-Lipschitz simpl…
Space quasiconformal composition operators with applications to Neumann eigenvalues
Vladimir Gol'dshtein, Ritva Hurri-Syrjänen, Valerii Pchelintsev +1
In this article we obtain estimates of Neumann eigenvalues of -Laplace operators in a large class of space domains satisfying quasihyperbolic boundary conditions. The suggested…
Sobolev mappings and moduli inequalities on Carnot groups
Evgenii Sevost'yanov, Alexander Ukhlov
In the article we study mappings of Carnot groups satisfy moduli inequalities. We prove that homeomorphisms satisfy the moduli inequalities (-homeomor\-phisms) with a locally in…
Spectral Stability Estimates of Neumann Divergence Form Elliptic Operators
Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov
We study spectral stability estimates of elliptic operators in divergence form with the Neumann boundary condition in non-Lipschitz domains $Ω\su…