全非线性退化椭圆方程的schauder型估计

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-03-03 DOI:10.1016/j.jfa.2025.110900

Thialita M. Nascimento

引用次数: 0

摘要

在本文中，我们研究了完全非线性退化椭圆型方程在内部消失源点处解的正则性估计。通过几何方法，我们在这些点上得到了依赖于Hölder-like源椭圆消失率的schauder型正则性估计。

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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Schauder-type estimates for fully nonlinear degenerate elliptic equations

In this paper, we examine regularity estimates for solutions to fully nonlinear, degenerated elliptic equations, at interior vanishing source points. By means of a geometric approach, we obtain, at such points, Schauder-type regularity estimates, which depend on the Hölder-like source-ellipticity vanishing rate.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis