Аннотация:
В статье приведены близкие к необходимым достаточные условия разрешимости задачи Дирихле для уравнений кривизны порядка m и доказаны теоремы существования решений в пространствах Cl+2+α(¯Ω), l⩾2, 0<α<1. Уравнение кривизны первого порядка совпадает с уравнением кривизны порядка m,
уравнение кривизны порядка n – с уравнением Монжа–Ампера.
Библиография: 18 названий.
Образец цитирования:
Н. М. Ивочкина, “Решение задачи Дирихле для уравнений кривизны порядка m”, Матем. сб., 180:7 (1989), 867–887; N. M. Ivochkina, “Solution of the Dirichlet problem for curvature equations of order m”, Math. USSR-Sb., 67:2 (1990), 317–339
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\paper Решение задачи Дирихле для уравнений кривизны порядка~$m$
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\by N.~M.~Ivochkina
\paper Solution of the Dirichlet problem for curvature equations of order~$m$
\jour Math. USSR-Sb.
\yr 1990
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sm1639
https://www.mathnet.ru/rus/sm/v180/i7/p867
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Li Chen, Qiang Tu, Kang Xiao, “Horo-Convex Hypersurfaces with Prescribed Shifted Gauss Curvatures in HHn+1”, J Geom Anal, 31:6 (2021), 6349
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