Existence and uniqueness of solutions to the Orlicz Aleksandrov problem
Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. In this paper, we give the existence and uniqueness of solutions to the Orlicz Aleksandrov problem for non-symmetric measures, which in...
Ausführliche Beschreibung
Autor*in: |
Feng, Yibin [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2022 |
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Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 |
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Übergeordnetes Werk: |
Enthalten in: Calculus of variations and partial differential equations - Springer Berlin Heidelberg, 1993, 61(2022), 4 vom: 03. Juni |
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Übergeordnetes Werk: |
volume:61 ; year:2022 ; number:4 ; day:03 ; month:06 |
Links: |
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DOI / URN: |
10.1007/s00526-022-02260-1 |
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520 | |a Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. In this paper, we give the existence and uniqueness of solutions to the Orlicz Aleksandrov problem for non-symmetric measures, which include the existence with $$p>0$$ and uniqueness with $$p\geqslant 1$$ of solutions to the $$L_p$$ Aleksandrov problem. | ||
700 | 1 | |a Hu, Shengnan |4 aut | |
700 | 1 | |a Liu, Weiru |4 aut | |
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10.1007/s00526-022-02260-1 doi (DE-627)OLC2078822205 (DE-He213)s00526-022-02260-1-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Feng, Yibin verfasserin aut Existence and uniqueness of solutions to the Orlicz Aleksandrov problem 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. In this paper, we give the existence and uniqueness of solutions to the Orlicz Aleksandrov problem for non-symmetric measures, which include the existence with $$p>0$$ and uniqueness with $$p\geqslant 1$$ of solutions to the $$L_p$$ Aleksandrov problem. Hu, Shengnan aut Liu, Weiru aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 61(2022), 4 vom: 03. Juni (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:61 year:2022 number:4 day:03 month:06 https://doi.org/10.1007/s00526-022-02260-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 61 2022 4 03 06 |
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10.1007/s00526-022-02260-1 doi (DE-627)OLC2078822205 (DE-He213)s00526-022-02260-1-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Feng, Yibin verfasserin aut Existence and uniqueness of solutions to the Orlicz Aleksandrov problem 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. In this paper, we give the existence and uniqueness of solutions to the Orlicz Aleksandrov problem for non-symmetric measures, which include the existence with $$p>0$$ and uniqueness with $$p\geqslant 1$$ of solutions to the $$L_p$$ Aleksandrov problem. Hu, Shengnan aut Liu, Weiru aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 61(2022), 4 vom: 03. Juni (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:61 year:2022 number:4 day:03 month:06 https://doi.org/10.1007/s00526-022-02260-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 61 2022 4 03 06 |
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10.1007/s00526-022-02260-1 doi (DE-627)OLC2078822205 (DE-He213)s00526-022-02260-1-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Feng, Yibin verfasserin aut Existence and uniqueness of solutions to the Orlicz Aleksandrov problem 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. In this paper, we give the existence and uniqueness of solutions to the Orlicz Aleksandrov problem for non-symmetric measures, which include the existence with $$p>0$$ and uniqueness with $$p\geqslant 1$$ of solutions to the $$L_p$$ Aleksandrov problem. Hu, Shengnan aut Liu, Weiru aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 61(2022), 4 vom: 03. Juni (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:61 year:2022 number:4 day:03 month:06 https://doi.org/10.1007/s00526-022-02260-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 61 2022 4 03 06 |
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10.1007/s00526-022-02260-1 doi (DE-627)OLC2078822205 (DE-He213)s00526-022-02260-1-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Feng, Yibin verfasserin aut Existence and uniqueness of solutions to the Orlicz Aleksandrov problem 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. In this paper, we give the existence and uniqueness of solutions to the Orlicz Aleksandrov problem for non-symmetric measures, which include the existence with $$p>0$$ and uniqueness with $$p\geqslant 1$$ of solutions to the $$L_p$$ Aleksandrov problem. Hu, Shengnan aut Liu, Weiru aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 61(2022), 4 vom: 03. Juni (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:61 year:2022 number:4 day:03 month:06 https://doi.org/10.1007/s00526-022-02260-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 61 2022 4 03 06 |
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10.1007/s00526-022-02260-1 doi (DE-627)OLC2078822205 (DE-He213)s00526-022-02260-1-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Feng, Yibin verfasserin aut Existence and uniqueness of solutions to the Orlicz Aleksandrov problem 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. In this paper, we give the existence and uniqueness of solutions to the Orlicz Aleksandrov problem for non-symmetric measures, which include the existence with $$p>0$$ and uniqueness with $$p\geqslant 1$$ of solutions to the $$L_p$$ Aleksandrov problem. Hu, Shengnan aut Liu, Weiru aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 61(2022), 4 vom: 03. Juni (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:61 year:2022 number:4 day:03 month:06 https://doi.org/10.1007/s00526-022-02260-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 61 2022 4 03 06 |
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Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. In this paper, we give the existence and uniqueness of solutions to the Orlicz Aleksandrov problem for non-symmetric measures, which include the existence with $$p>0$$ and uniqueness with $$p\geqslant 1$$ of solutions to the $$L_p$$ Aleksandrov problem. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 |
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Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. In this paper, we give the existence and uniqueness of solutions to the Orlicz Aleksandrov problem for non-symmetric measures, which include the existence with $$p>0$$ and uniqueness with $$p\geqslant 1$$ of solutions to the $$L_p$$ Aleksandrov problem. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 |
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Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. In this paper, we give the existence and uniqueness of solutions to the Orlicz Aleksandrov problem for non-symmetric measures, which include the existence with $$p>0$$ and uniqueness with $$p\geqslant 1$$ of solutions to the $$L_p$$ Aleksandrov problem. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 |
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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">OLC2078822205</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506033724.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2022 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00526-022-02260-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2078822205</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00526-022-02260-1-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="100" ind1="1" ind2=" "><subfield code="a">Feng, Yibin</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Existence and uniqueness of solutions to the Orlicz Aleksandrov problem</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</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">© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Recently, an Orlicz Aleksandrov problem has been posed and two existence results of solutions to this problem for symmetric measures have been established. 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Juni</subfield><subfield code="w">(DE-627)165669977</subfield><subfield code="w">(DE-600)1144181-1</subfield><subfield code="w">(DE-576)033045690</subfield><subfield code="x">0944-2669</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:61</subfield><subfield code="g">year:2022</subfield><subfield code="g">number:4</subfield><subfield code="g">day:03</subfield><subfield code="g">month:06</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00526-022-02260-1</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">61</subfield><subfield code="j">2022</subfield><subfield code="e">4</subfield><subfield code="b">03</subfield><subfield code="c">06</subfield></datafield></record></collection>
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