1 citations · 1 across the 5 of their papers we have counts for
3 papers
math.AP2022
On regularity of weighted Sobolev homeomorphisms
Valerii Pchelintsev, Alexander Ukhlov
We study the weak regularity of mappings inverse to weighted Sobolev homeomorphisms , where and are domains in . Using the weak re…
math.AP2021
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…
math.AP2017★ 1 cited
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…