3 papers
math.CV2016
On equicontinuity of Sobolev classes in domains with locally connected boundary
E. A. Petrov, E. A. Sevost'yanov
A behavior of homeomorphisms of Orlicz classes in a closure of a domain is investigated. It is proved that above classes are equicontinuous in the closure of domains with some rest…
math.CV2015
On removability of isolated singularities of classes Orlicz - Sobolev
E. A. Petrov, R. R. Salimov, E. A. Sevost'yanov
We study the local behavior of the closed-open discrete maps of Orlich--Sobolev classes in It was found that these mappings have continuous extens…
math.MG2011
Subdominant pseudoultrametric on graphs
O. Dovgoshey, E. Petrov
Let (G,w) be a weighted graph. The necessary and sufficient conditions under which a weight w : E(G)-->R^+ can be extended to a pseudoultrametric on V(G) are found. A criterion of…