N. Zorii

activity

20092025

most citedInterior capacities of condensers with infinitely many plates in a locally compact space

3 citations · 9 across the 30 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CA2019

A concept of weak Riesz energy with application to condensers with touching plates

Natalia Zorii

We proceed further with the study of minimum weak Riesz energy problems for condensers with touching plates, initiated jointly with Bent Fuglede (Potential Anal. 51 (2019), 197--21…

math.CA2019

A theory of inner Riesz balayage and its applications

Natalia Zorii

We establish the theory of balayage for the Riesz kernel $∣ x - y ∣^{α - n}$ , $α \in (0, 2]$ , on $R^{n}$ , $n ⩾ 3$ , alternative to that suggested in the book by Landkof. A need f…

math.CA2019

Condensers with infinitely many touching Borel plates and minimum energy problems

Natalia Zorii

Defining a condenser in a locally compact space as a locally finite, countable collection of Borel sets $A_{i}$ , $i \in I$ , with the sign $s_{i} = \pm 1$ prescribed such that $A_i\cap A_j=…