An inhomogeneous version of the Carleson estimate for singular/degenerate nonlinear equations

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2023-03-16 DOI:10.1007/s10231-023-01320-3

J. Ederson M. Braga, Diego R. Moreira, J. Wálisson V. de Sousa

引用次数: 0

Abstract

In this paper, we provide an inhomogeneous version of the Carleson estimate for quasilinear elliptic equations with g-Laplace type growth and unbounded right-hand side. We use this result to extend exponential growth theorems in cylindrical unbounded domains proven by Berestycki et al. (Duke Math J 81:467–494, 1996). We finish this paper showing a boundary Harnack-type inequality.

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奇异/退化非线性方程Carleson估计的非齐次形式

在本文中，我们提供了具有g-Laplace型增长和无界右手边的拟线性椭圆型方程的Carleson估计的非齐次版本。我们使用这个结果来扩展Berestycki等人（Duke Math J 81:467–4941996）证明的圆柱形无界域中的指数增长定理。本文最后给出了一个边界Harnack型不等式。

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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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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