A flow method for the dual Orlicz--Minkowski problem
In this paper the dual Orlicz-Minkowski problem, a generalization of the L_p dual Minkowski problem, is studied. By studying a flow involving the Gauss curvature and support function, we obtain a new existence result of solutions to this problem for smooth measures.
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| Veröffentlicht in: | Transactions of the American Mathematical Society 2020-08, Vol.373 (8), p.5833-5853 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper the dual Orlicz-Minkowski problem, a generalization of the L_p dual Minkowski problem, is studied. By studying a flow involving the Gauss curvature and support function, we obtain a new existence result of solutions to this problem for smooth measures. |
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| ISSN: | 0002-9947 1088-6850 |
| DOI: | 10.1090/tran/8130 |