71 citations · 168 across the 36 of their papers we have counts for
39 papers
Principal frequencies of free non-homogeneous membranes and Sobolev extension operators
Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov
Using the quasiconformal mappings theory and Sobolev extension operators, we obtain estimates of principal frequencies of free non-homogeneous membranes. The suggested approach is…
Composition operators on Sobolev spaces and weighted moduli inequalities
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov
In this paper we study connections between composition operators on Sobolev spaces and mappings defined by -moduli inequalities (-capacity inequalities). We prove that weight…
Quasiconformal Whitney Partition
Vladimir Gol'dshtein, Nahum Zobin
Whitney partition is a very important concept in modern analysis. We discuss here a quasiconformal version of the Whitney partition that can be usefull for Sobolev spaces.
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…
The dynamics of polydisperse spray fuel in thermal explosion processes
Shlomo Hareli, OPhir Nave, Vladimir Gol'dshtein
The dynamics of the particle-size distribution (PSD) of the polydispersed fuel is important for evaluation of the combustion process. In this paper we unfold the mystery of the dyn…