4 citations · 4 across the 5 of their papers we have counts for
5 papers
Sobolev -extension operators and Neumann eigenvalues
Vladimir Gol'dshtein, Alexander Ukhlov
In this article, we consider -extension operators, , on Sobolev spaces. Based on composition operators on Sobolev spaces, we construct the extension op…
On the weighted Steklov eigenvalue problems in outward cuspidal domains
Prashanta Garain, Vladimir Gol'dshtein, Alexander Ukhlov
In this article, we investigate the weighted Steklov eigenvalue problem and the weighted Schrödinger--Steklov eigenvalue problem in outward cuspidal domains. We prove the solvabili…
On the de Rham homomorphism for -cohomologies
V. Gol'dshtein, R. Panenko
We study the procedure of regularization in the context of the Lipschitz version of de Rham calculus on metric simplicial complexes with bounded geometry. It provides us with the m…
Sobolev homeomorphisms and Brennan's conjecture
Vladimir Gol'dshtein, Alexander Ukhlov
Let be a domain that supports the -Poincaré inequality. Given a homeomorphism , for we show the domain has finite geodesic di…
Embedding operators and boundary-value problems for rough domains
V. G. Goldshtein, A. G. Ramm
In the first part of the paper boundary-value problems are considered under weak assumptions on the smoothness of the domains. We assume nothing about smoothness of the boundary $\…