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
Gespeichert in:
| 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 |
|---|---|
| Übergeordnetes Werk: |
volume:105 ; year:2001 ; number:4 ; month:07 ; pages:2180-2189 |
| Links: |
|---|
| DOI / URN: |
10.1023/A:1011329108587 |
|---|
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OLC2030762989 |
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| 520 | |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. 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. | ||
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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 |
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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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<?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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