Extremal Decomposition of Spatial Domains
Abstract Classical results by Lavrent'ev, Alenitsyn, and Kufarev on the product of the conformal radii of planar nonoverlapping domains, as well as a recent result on an extremal decomposition with free poles on the circle are extended to the case of domains in the n-dimensional Euclidean space...
Ausführliche Beschreibung
Autor*in: |
Dubinin, V. N. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2001 |
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Schlagwörter: |
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Anmerkung: |
© Plenum Publishing Corporation 2001 |
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Übergeordnetes Werk: |
Enthalten in: Journal of mathematical sciences - Kluwer Academic Publishers-Plenum Publishers, 1994, 105(2001), 4 vom: Juli, Seite 2180-2189 |
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Übergeordnetes Werk: |
volume:105 ; year:2001 ; number:4 ; month:07 ; pages:2180-2189 |
Links: |
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DOI / URN: |
10.1023/A:1011329108587 |
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Katalog-ID: |
OLC2030762989 |
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10.1023/A:1011329108587 doi (DE-627)OLC2030762989 (DE-He213)A:1011329108587-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Dubinin, V. N. verfasserin aut Extremal Decomposition of Spatial Domains 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract Classical results by Lavrent'ev, Alenitsyn, and Kufarev on the product of the conformal radii of planar nonoverlapping domains, as well as a recent result on an extremal decomposition with free poles on the circle are extended to the case of domains in the n-dimensional Euclidean space, n ≥ 3, with conformal radii replaced by harmonic ones. The main tool used in the proof is the technique of generalized reduced modules. We also apply the method of extremal metrics and dissymmetrization of families of curves. Bibliography: $5 titles. Euclidean Space Recent Result Spatial Domain Classical Result Main Tool Prilepkina, E. G. aut Enthalten in Journal of mathematical sciences Kluwer Academic Publishers-Plenum Publishers, 1994 105(2001), 4 vom: Juli, Seite 2180-2189 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:105 year:2001 number:4 month:07 pages:2180-2189 https://doi.org/10.1023/A:1011329108587 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2088 GBV_ILN_4310 GBV_ILN_4314 31.00 VZ AR 105 2001 4 07 2180-2189 |
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10.1023/A:1011329108587 doi (DE-627)OLC2030762989 (DE-He213)A:1011329108587-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Dubinin, V. N. verfasserin aut Extremal Decomposition of Spatial Domains 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract Classical results by Lavrent'ev, Alenitsyn, and Kufarev on the product of the conformal radii of planar nonoverlapping domains, as well as a recent result on an extremal decomposition with free poles on the circle are extended to the case of domains in the n-dimensional Euclidean space, n ≥ 3, with conformal radii replaced by harmonic ones. The main tool used in the proof is the technique of generalized reduced modules. We also apply the method of extremal metrics and dissymmetrization of families of curves. Bibliography: $5 titles. Euclidean Space Recent Result Spatial Domain Classical Result Main Tool Prilepkina, E. G. aut Enthalten in Journal of mathematical sciences Kluwer Academic Publishers-Plenum Publishers, 1994 105(2001), 4 vom: Juli, Seite 2180-2189 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:105 year:2001 number:4 month:07 pages:2180-2189 https://doi.org/10.1023/A:1011329108587 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2088 GBV_ILN_4310 GBV_ILN_4314 31.00 VZ AR 105 2001 4 07 2180-2189 |
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10.1023/A:1011329108587 doi (DE-627)OLC2030762989 (DE-He213)A:1011329108587-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Dubinin, V. N. verfasserin aut Extremal Decomposition of Spatial Domains 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract Classical results by Lavrent'ev, Alenitsyn, and Kufarev on the product of the conformal radii of planar nonoverlapping domains, as well as a recent result on an extremal decomposition with free poles on the circle are extended to the case of domains in the n-dimensional Euclidean space, n ≥ 3, with conformal radii replaced by harmonic ones. The main tool used in the proof is the technique of generalized reduced modules. We also apply the method of extremal metrics and dissymmetrization of families of curves. Bibliography: $5 titles. Euclidean Space Recent Result Spatial Domain Classical Result Main Tool Prilepkina, E. G. aut Enthalten in Journal of mathematical sciences Kluwer Academic Publishers-Plenum Publishers, 1994 105(2001), 4 vom: Juli, Seite 2180-2189 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:105 year:2001 number:4 month:07 pages:2180-2189 https://doi.org/10.1023/A:1011329108587 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2088 GBV_ILN_4310 GBV_ILN_4314 31.00 VZ AR 105 2001 4 07 2180-2189 |
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10.1023/A:1011329108587 doi (DE-627)OLC2030762989 (DE-He213)A:1011329108587-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Dubinin, V. N. verfasserin aut Extremal Decomposition of Spatial Domains 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract Classical results by Lavrent'ev, Alenitsyn, and Kufarev on the product of the conformal radii of planar nonoverlapping domains, as well as a recent result on an extremal decomposition with free poles on the circle are extended to the case of domains in the n-dimensional Euclidean space, n ≥ 3, with conformal radii replaced by harmonic ones. The main tool used in the proof is the technique of generalized reduced modules. We also apply the method of extremal metrics and dissymmetrization of families of curves. Bibliography: $5 titles. Euclidean Space Recent Result Spatial Domain Classical Result Main Tool Prilepkina, E. G. aut Enthalten in Journal of mathematical sciences Kluwer Academic Publishers-Plenum Publishers, 1994 105(2001), 4 vom: Juli, Seite 2180-2189 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:105 year:2001 number:4 month:07 pages:2180-2189 https://doi.org/10.1023/A:1011329108587 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2088 GBV_ILN_4310 GBV_ILN_4314 31.00 VZ AR 105 2001 4 07 2180-2189 |
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10.1023/A:1011329108587 doi (DE-627)OLC2030762989 (DE-He213)A:1011329108587-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Dubinin, V. N. verfasserin aut Extremal Decomposition of Spatial Domains 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract Classical results by Lavrent'ev, Alenitsyn, and Kufarev on the product of the conformal radii of planar nonoverlapping domains, as well as a recent result on an extremal decomposition with free poles on the circle are extended to the case of domains in the n-dimensional Euclidean space, n ≥ 3, with conformal radii replaced by harmonic ones. The main tool used in the proof is the technique of generalized reduced modules. We also apply the method of extremal metrics and dissymmetrization of families of curves. Bibliography: $5 titles. Euclidean Space Recent Result Spatial Domain Classical Result Main Tool Prilepkina, E. G. aut Enthalten in Journal of mathematical sciences Kluwer Academic Publishers-Plenum Publishers, 1994 105(2001), 4 vom: Juli, Seite 2180-2189 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:105 year:2001 number:4 month:07 pages:2180-2189 https://doi.org/10.1023/A:1011329108587 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_2088 GBV_ILN_4310 GBV_ILN_4314 31.00 VZ AR 105 2001 4 07 2180-2189 |
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Abstract Classical results by Lavrent'ev, Alenitsyn, and Kufarev on the product of the conformal radii of planar nonoverlapping domains, as well as a recent result on an extremal decomposition with free poles on the circle are extended to the case of domains in the n-dimensional Euclidean space, n ≥ 3, with conformal radii replaced by harmonic ones. The main tool used in the proof is the technique of generalized reduced modules. We also apply the method of extremal metrics and dissymmetrization of families of curves. Bibliography: $5 titles. © Plenum Publishing Corporation 2001 |
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Abstract Classical results by Lavrent'ev, Alenitsyn, and Kufarev on the product of the conformal radii of planar nonoverlapping domains, as well as a recent result on an extremal decomposition with free poles on the circle are extended to the case of domains in the n-dimensional Euclidean space, n ≥ 3, with conformal radii replaced by harmonic ones. The main tool used in the proof is the technique of generalized reduced modules. We also apply the method of extremal metrics and dissymmetrization of families of curves. Bibliography: $5 titles. © Plenum Publishing Corporation 2001 |
abstract_unstemmed |
Abstract Classical results by Lavrent'ev, Alenitsyn, and Kufarev on the product of the conformal radii of planar nonoverlapping domains, as well as a recent result on an extremal decomposition with free poles on the circle are extended to the case of domains in the n-dimensional Euclidean space, n ≥ 3, with conformal radii replaced by harmonic ones. The main tool used in the proof is the technique of generalized reduced modules. We also apply the method of extremal metrics and dissymmetrization of families of curves. Bibliography: $5 titles. © Plenum Publishing Corporation 2001 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2030762989</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503160030.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2001 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1023/A:1011329108587</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2030762989</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)A:1011329108587-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Dubinin, V. N.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Extremal Decomposition of Spatial Domains</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2001</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Plenum Publishing Corporation 2001</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Classical results by Lavrent'ev, Alenitsyn, and Kufarev on the product of the conformal radii of planar nonoverlapping domains, as well as a recent result on an extremal decomposition with free poles on the circle are extended to the case of domains in the n-dimensional Euclidean space, n ≥ 3, with conformal radii replaced by harmonic ones. 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