Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights

被引：0

作者：

Miao, Changxing ^{[1
,2
]}

Zhao, Zhiwen ^{[3
]}

机构：

[1] Beijing Computat Sci Res Ctr, Beijing, Peoples R China

[2] Inst Appl Phys & Computat Math, POB 8009, Beijing, Peoples R China

[3] Beijing Computat Sci Res Ctr, Beijing, Peoples R China

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2023年 / 66卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

local regularity; anisotropic weights; weighted Poincare inequality; weighted p-Laplace equations; weighted fast diffusion equations; HARNACK INEQUALITY; ISOPERIMETRIC-INEQUALITIES; INTERPOLATION INEQUALITIES; SOBOLEV; POINCARE; BEHAVIOR;

D O I：

10.1017/S0013091523000202

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is to capture the asymptotic behaviour for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting of two power-type weights of different dimensions near the degenerate or singular point, especially covering the weighted p-Laplace equations and weighted fast diffusion equations. As a consequence, we also establish the local Holder estimates for their solutions in the presence of single power-type weights.

引用

页码：391 / 436

页数：46

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