Natalia Zorii

@imath.kiev.ua

Institute of Mathmatics of NASU, Department of Mathematical Physics
Institute of Mathematics of NASU

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https://researchid.co/zorii.natalia

RESEARCH, TEACHING, or OTHER INTERESTS

Analysis, Geometry and Topology, Mathematical Physics

64

Scopus Publications

Scopus Publications

On an extension of Fuglede's theory of pseudo-balayage and its applications
Natalia Zorii
Expositiones Mathematicae, 2026
Fractional Harmonic Measure in Minimum Riesz Energy Problems with External Fields
Natalia Zorii
Potential Analysis, 2026
Inner Riesz Balayage in Minimum Energy Problems with External Fields
Natalia Zorii
Constructive Approximation, 2026
Weighted minimum α-Green energy problems
N. Zorii
Analysis Mathematica, 2025
Selected gems from the mathematics of Bent Fuglede - a centenary tribute
C. Berg, K. Böröczky, M. El Kadiri, M. Kolountzakis, N. Zorii, et al.
Analysis Mathematica, 2025
On Fuglede’s problem on pseudo-balayage for signed Radon measures of infinite energy
Natalia Zorii
Analysis and Mathematical Physics, 2025
Integral representation of balayage on locally compact spaces and its application
Natalia Zorii
Analysis and Mathematical Physics, 2025
Balayage, equilibrium measure, and Deny’s principle of positivity of mass for α-Green potentials
Natalia Zorii
Analysis and Mathematical Physics, 2025
Minimum Energy Problems with External Fields on Locally Compact Spaces
Natalia Zorii
Constructive Approximation, 2024
Inner Riesz Pseudo-Balayage and its Applications to Minimum Energy Problems with External Fields
Natalia Zorii
Potential Analysis, 2024
On the theory of balayage on locally compact spaces
Natalia Zorii
Potential Analysis, 2023
Minimum Riesz energy problems with external fields
Natalia Zorii
Journal of Mathematical Analysis and Applications, 2023
On the Theory of Capacities on Locally Compact Spaces and its Interaction with the Theory of Balayage
Natalia Zorii
Potential Analysis, 2023
On the role of the point at infinity in Deny’s principle of positivity of mass for Riesz potentials
Natalia Zorii
Analysis and Mathematical Physics, 2023
Harmonic Measure, Equilibrium Measure, and Thinness at Infinity in the Theory of Riesz Potentials
Natalia Zorii
Potential Analysis, 2022
Erratum to: Balayage of Measures on a Locally Compact Space (Analysis Mathematica, (2022), 48, 1, (249-277), 10.1007/s10476-022-0122-1)
N. Zorii
Analysis Mathematica, 2022
Balayage of measures on a locally compact space
N. Zorii
Analysis Mathematica, 2022
A concept of weak Riesz energy with application to condensers with touching plates
Natalia Zorii
Analysis and Mathematical Physics, 2020
Various Concepts of Riesz Energy of Measures and Application to Condensers with Touching Plates
Bent Fuglede, Natalia Zorii
Potential Analysis, 2020
Constrained minimum Riesz energy problems for a condenser with intersecting plates
Peter D. Dragnev, Bent Fuglede, Doug P. Hardin, Edward B. Saff, Natalia Zorii
Journal D Analyse Mathematique, 2020
A theory of inner Riesz balayage and its applications
Natalia Zorii
Bulletin of the Polish Academy of Sciences Mathematics, 2020
Condensers with Touching Plates and Constrained Minimum Riesz and Green Energy Problems
P. D. Dragnev, B. Fuglede, D. P. Hardin, E. B. Saff, N. Zorii
Constructive Approximation, 2019
Constrained minimum riesz and green energy problems for vector measures associated with a generalized condenser
Bent Fuglede, Natalia Zorii
Hiroshima Mathematical Journal, 2019
An Alternative Concept of Riesz Energy of Measures with Application to Generalized Condensers
Bent Fuglede, Natalia Zorii
Potential Analysis, 2019
Green kernels associated with Riesz kernels
Bent Fuglede, Natalia Zorii
Annales Academiae Scientiarum Fennicae Mathematica, 2018
Minimal energy problems for strongly singular Riesz kernels
Helmut Harbrecht, Wolfgang L. Wendland, Natalia Zorii
Mathematische Nachrichten, 2018
Constrained Gauss variational problems for a condenser with intersecting plates
Bent Fuglede, Natalia Zorii
Annales Polonici Mathematici, 2017
Rapid Solution of Minimal Riesz Energy Problems
Helmut Harbrecht, Wolfgang L. Wendland, Natalia Zorii
Numerical Methods for Partial Differential Equations, 2016
Minimum Riesz Energy Problems for a Condenser with Touching Plates
P. D. Dragnev, B. Fuglede, D. P. Hardin, E. B. Saff, N. Zorii
Potential Analysis, 2016
Necessary and Sufficient Conditions for the Solvability of the Gauss Variational Problem for Infinite Dimensional Vector Measures
Natalia Zorii
Potential Analysis, 2014
Riesz minimal energy problems on Ck-1,1-manifolds
Helmut Harbrecht, Wolfgang L. Wendland, Natalia Zorii
Mathematische Nachrichten, 2014
Equilibrium Problems for Infinite Dimensional Vector Potentials with External Fields
Natalia Zorii
Potential Analysis, 2013
On Riesz minimal energy problems
H. Harbrecht, W.L. Wendland, N. Zorii
Journal of Mathematical Analysis and Applications, 2012
Constrained energy problems with external fields for vector measures
N. Zorii
Mathematische Nachrichten, 2012
Constrained Energy Problems with External Fields
Natalia Zorii
Complex Analysis and Operator Theory, 2011
Interior Capacities of Condensers in Locally Compact Spaces
Natalia Zorii
Potential Analysis, 2011
On the numerical solution of minimal energy problems
G. Of, W.L. Wendland, N. Zorii
Complex Variables and Elliptic Equations, 2010
Interior capacities of condensers with countably many plates in locally compact spaces
Natalia Zorii
Hiroshima Mathematical Journal, 2010
Extremal problems dual to the Gauss variational problem
N. V. Zorii
Ukrainian Mathematical Journal, 2006
Necessary and sufficient conditions for the solvability of the Gauss variational problem
N. V. Zorii
Ukrainian Mathematical Journal, 2005
Theory of potential with respect to consistent kernels; Theorem on completeness and sequences of potentials
N. V. Zorii
Ukrainian Mathematical Journal, 2004
Equilibrium problems for potentials with external fields
N. V. Zorii
Ukrainian Mathematical Journal, 2003
Equilibrium potentials with external fields
N. V. Zorii
Ukrainian Mathematical Journal, 2003
Extremal problems in logarithmic potential theory
N. V. Zorii, A. A. Latyshev
Ukrainian Mathematical Journal, 2002
Extremal problems in the theory of capacities of condensers in locally compact spaces. III
N. V. Zorii
Ukrainian Mathematical Journal, 2001
Extremal problems in the theory of capacities of condensers in locally compact spaces. II
N. V. Zorii
Ukrainian Mathematical Journal, 2001
Extremal problems in the theory of capacities of condensers in locally compact spaces. I
N. V. Zorii
Ukrainian Mathematical Journal, 2001
A noncompact variational problem in the theory of Riesz potentials. I
N. V. Zorii
Ukrainian Mathematical Journal, 1995
International Mathematical School “Potential Theory” (Katsiveli, June 26 –July 7, 1993)
P. M. Tamrazov, A. V. Bondar, N. V. Zorii
Ukrainian Mathematical Journal, 1994
Modulus, functional, and potential characteristics of condensers in a domain; relations between them
N. V. Zorii
Ukrainian Mathematical Journal, 1992
Variational problems of potential theory
N. V. Zorii
Ukrainian Mathematical Journal, 1991
Variational problems of potential theory
N. V. Zorii
Ukrainian Mathematical Journal, 1991
Estimates of capacities of plane condensers
N. V. Zorii
Ukrainian Mathematical Journal, 1991
Variational problem of the theory of Green's potential. II
N. V. Zorii
Ukrainian Mathematical Journal, 1990
Capacities and discrete characteristics of space condensers
N. V. Zorii
Ukrainian Mathematical Journal, 1990
On capacities of condensers
N. V. Zorii
Ukrainian Mathematical Journal, 1990
A variational problem in the theory of green potential. I
N. V. Zorii
Ukrainian Mathematical Journal, 1990
Extremal lengths and green capacities of condensers
N. V. Zorii
Ukrainian Mathematical Journal, 1990
Precise estimate of the 2-capacity of a condenser
N. V. Zorii
Ukrainian Mathematical Journal, 1990
Moduli of families of surfaces and the Green capacity of condensers
N. V. Zorii
Ukrainian Mathematical Journal, 1990
Problem of the minimum energy for space condensers and riesz kernels
N. V. Zorii
Ukrainian Mathematical Journal, 1989
Functional characteristics of space condensers: Their properties and relations among them
N. V. Zorii
Ukrainian Mathematical Journal, 1987
An extremal problem on the minimum of energy for space condensers
N. V. Zorii
Ukrainian Mathematical Journal, 1986
Estimates of capacities and energies under reconstruction of condensers
N. V. Zorii
Ukrainian Mathematical Journal, 1980