Zorii Natalia Vasylivna
Publications
Papers published within 2016–2020
1. Zorii N., Minimum Riesz energy problems for a condenser with touching plates. Potential Anal. 44, 543–577 (2016). (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s11118-015-9519-9
2. Zorii N., Rapid solution of minimal Riesz energy problems. Numer. Methods Partial Differ. Equ. 32, 1535–1552 (2016). (Jointly with Harbrecht H., Wendland W.L.) https://doi.org/10.1002/num.22060
3. Zorii N., Constrained Gauss variational problems for a condenser with intersecting plates. Ann. Polon. Math. 120, 227–260 (2017). (Jointly with Fuglede B.) https://doi.org/10.4064/ap170619-2-12
4. Zorii N., Minimal energy problems for strongly singular Riesz kernels. Math. Nachr. 291, 55–85 (2018). (Jointly with Harbrecht H., Wendland W.L.) https://doi.org/10.1002/mana.201600024
5. Zorii N., Green kernels associated with Riesz kernels. Ann. Acad. Sci. Fenn. Math. 43, 121–145 (2018). (Jointly with Fuglede B.) https://doi.org/10.5186/aasfm.2018.4305
6. Zorii N., Condensers with touching plates and constrained minimum Riesz and Green energy problems. Constr. Appr. 50, 369–401 (2019). (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s00365-019-09454-5
7. Zorii N., An alternative concept of Riesz energy of measures with application to generalized condensers. Potential Anal. 51, 197–217 (2019). (Jointly with Fuglede B.) https://doi.org/10.1007/s11118-018-9709-3
8. Zorii N., Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser. Hiroshima Math. J. 49, 399–437 (2019). (Jointly with Fuglede B.) https://doi.org/10.32917/hmj/1573787036
9. Zorii N., Condensers with infinitely many touching Borel plates and minimum energy problems. Bull. Pol. Acad. Sci. Math. 67, 125–163 (2019) https://doi.org/10.4064/ba190414-29-11
10. Zorii N., Various concepts of Riesz energy of measures and application to condensers with touching plates. Potential Anal. 53, 1191–1223 (2020). (Jointly with Fuglede B.) https://doi.org/10.1007/s11118-019-09803-w
11. Zorii N., A theory of inner Riesz balayage and its applications. Bull. Pol. Acad. Sci. Math. 68, 41–67 (2020). https://doi.org/10.4064/ba191104-31-1
12. Zorii N., Constrained minimum Riesz energy problems for a condenser with intersecting plates. Journal d'Analyse Math. (2020), 43 pp. (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s11854-020-0091-x
13. Zorii N., A concept of weak Riesz energy with application to condensers with touching plates. Anal. Math. Phys. (2020), 33 pp. https://doi.org/10.1007/s13324-020-00384-1
E-prints within 2016–2020
1. Zorii N., Minimal energy problems for strongly singular Riesz kernels, arXiv:1602.08544 (2016), 31 pp. (Jointly with Harbrecht H., Wendland W.L.)
2. Zorii N., Green kernels associated with Riesz kernels, arXiv:1610.00268 (2016), 29 pp. (Jointly with Fuglede B.)
3. Zorii N., Constrained minimum Riesz energy problems for a condenser with intersecting plates, arXiv:1710.01950 (2017), 33 pp. (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.)
4. Zorii N., Condensers with touching plates and constrained minimum Riesz and Green energy problems, arXiv:1711.05484 (2017), 30 pp. (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.)
5. Zorii N., Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser, arXiv:1802.07171(2018), 39 pp. (Jointly with Fuglede B.)
6. Zorii N., An alternative concept of Riesz energy of measures with application to generalized condensers, arXiv:1803.11079 (2018), 23 pp. (Jointly with Fuglede B.)
7. Zorii N., Various concepts of Riesz energy of measures and application to condensers with touching plates, arXiv:1810.00791 (2018), 31 pp. (Jointly with Fuglede B.)
8. Zorii N., Condensers with infinitely many touching Borel plates and minimum energy problems, arXiv: 1903.08917 (2019), 31 pp.
9. Zorii N., A theory of inner Riesz balayage and its applications, arXiv:1910.09946 (2019), 23 pp.
10. Zorii N., A concept of weak Riesz energy with application to condensers with touching plates, arXiv:1911.12406 (2019), 26 pp.
11. Zorii N., Harmonic measure, equilibrium measure, and thinness at infinity in the theory of Riesz potentials, arXiv:2006.12364 (2020), 23 pp.
12. Zorii N., Balayage of measures on a locally compact space, arXiv:2010.07199 (2020), 21 pp.
1. Zorii N., Minimum Riesz energy problems for a condenser with touching plates. Potential Anal. 44, 543–577 (2016). (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s11118-015-9519-9
2. Zorii N., Rapid solution of minimal Riesz energy problems. Numer. Methods Partial Differ. Equ. 32, 1535–1552 (2016). (Jointly with Harbrecht H., Wendland W.L.) https://doi.org/10.1002/num.22060
3. Zorii N., Constrained Gauss variational problems for a condenser with intersecting plates. Ann. Polon. Math. 120, 227–260 (2017). (Jointly with Fuglede B.) https://doi.org/10.4064/ap170619-2-12
4. Zorii N., Minimal energy problems for strongly singular Riesz kernels. Math. Nachr. 291, 55–85 (2018). (Jointly with Harbrecht H., Wendland W.L.) https://doi.org/10.1002/mana.201600024
5. Zorii N., Green kernels associated with Riesz kernels. Ann. Acad. Sci. Fenn. Math. 43, 121–145 (2018). (Jointly with Fuglede B.) https://doi.org/10.5186/aasfm.2018.4305
6. Zorii N., Condensers with touching plates and constrained minimum Riesz and Green energy problems. Constr. Appr. 50, 369–401 (2019). (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s00365-019-09454-5
7. Zorii N., An alternative concept of Riesz energy of measures with application to generalized condensers. Potential Anal. 51, 197–217 (2019). (Jointly with Fuglede B.) https://doi.org/10.1007/s11118-018-9709-3
8. Zorii N., Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser. Hiroshima Math. J. 49, 399–437 (2019). (Jointly with Fuglede B.) https://doi.org/10.32917/hmj/1573787036
9. Zorii N., Condensers with infinitely many touching Borel plates and minimum energy problems. Bull. Pol. Acad. Sci. Math. 67, 125–163 (2019) https://doi.org/10.4064/ba190414-29-11
10. Zorii N., Various concepts of Riesz energy of measures and application to condensers with touching plates. Potential Anal. 53, 1191–1223 (2020). (Jointly with Fuglede B.) https://doi.org/10.1007/s11118-019-09803-w
11. Zorii N., A theory of inner Riesz balayage and its applications. Bull. Pol. Acad. Sci. Math. 68, 41–67 (2020). https://doi.org/10.4064/ba191104-31-1
12. Zorii N., Constrained minimum Riesz energy problems for a condenser with intersecting plates. Journal d'Analyse Math. (2020), 43 pp. (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s11854-020-0091-x
13. Zorii N., A concept of weak Riesz energy with application to condensers with touching plates. Anal. Math. Phys. (2020), 33 pp. https://doi.org/10.1007/s13324-020-00384-1
E-prints within 2016–2020
1. Zorii N., Minimal energy problems for strongly singular Riesz kernels, arXiv:1602.08544 (2016), 31 pp. (Jointly with Harbrecht H., Wendland W.L.)
2. Zorii N., Green kernels associated with Riesz kernels, arXiv:1610.00268 (2016), 29 pp. (Jointly with Fuglede B.)
3. Zorii N., Constrained minimum Riesz energy problems for a condenser with intersecting plates, arXiv:1710.01950 (2017), 33 pp. (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.)
4. Zorii N., Condensers with touching plates and constrained minimum Riesz and Green energy problems, arXiv:1711.05484 (2017), 30 pp. (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.)
5. Zorii N., Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser, arXiv:1802.07171(2018), 39 pp. (Jointly with Fuglede B.)
6. Zorii N., An alternative concept of Riesz energy of measures with application to generalized condensers, arXiv:1803.11079 (2018), 23 pp. (Jointly with Fuglede B.)
7. Zorii N., Various concepts of Riesz energy of measures and application to condensers with touching plates, arXiv:1810.00791 (2018), 31 pp. (Jointly with Fuglede B.)
8. Zorii N., Condensers with infinitely many touching Borel plates and minimum energy problems, arXiv: 1903.08917 (2019), 31 pp.
9. Zorii N., A theory of inner Riesz balayage and its applications, arXiv:1910.09946 (2019), 23 pp.
10. Zorii N., A concept of weak Riesz energy with application to condensers with touching plates, arXiv:1911.12406 (2019), 26 pp.
11. Zorii N., Harmonic measure, equilibrium measure, and thinness at infinity in the theory of Riesz potentials, arXiv:2006.12364 (2020), 23 pp.
12. Zorii N., Balayage of measures on a locally compact space, arXiv:2010.07199 (2020), 21 pp.