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具有退化系数的完全非线性方程的梯度正则性

IF 1 3区 数学 Q1 MATHEMATICS
Annali di Matematica Pura ed Applicata Pub Date : 2024-09-11 DOI:10.1007/s10231-024-01498-0
David Jesus, Yannick Sire
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引用次数: 0

摘要

我们推导了在超曲面上退化的完全非线性方程的粘度解的\(C^{1,\alpha }\)估计。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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Gradient regularity for fully nonlinear equations with degenerate coefficients

We derive \(C^{1,\alpha }\) estimates for viscosity solutions of fully nonlinear equations degenerating on a hypersurface.

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来源期刊
Annali di Matematica Pura ed Applicata
Annali di Matematica Pura ed Applicata 数学-数学
CiteScore
2.10
自引率
10.00%
发文量
99
审稿时长
>12 weeks
期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.
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