Harnack inequality for a p-Laplacian equation with a source reaction term involving the product of the function and its gradient

被引：0

作者：

Chen, Bo ^{[1
]}

Xie, Junhui ^{[1
]}

机构：

[1] Hubei Minzu Univ, Sch Math & Stat, Enshi 445000, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 02期

基金：

中国国家自然科学基金;

关键词：

p; -Laplace; Harnack inequality; de Giorgi -Nash -Moser iteration; Moser's iteration; ELLIPTIC-EQUATIONS; LIOUVILLE; THEOREMS; PROOF;

D O I：

10.3934/era.2023059

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A p-Laplacian type problem with a source reaction term involving the product of the function and its gradient is considered in this paper. A Harnack inequality is proved, and the main idea is based on de Giorgi-Nash-Moser iteration and Moser's iteration technique. As a consequence, Ho center dot lder continuity and boundness for the solution of this problem also are obtained.

引用

页码：1157 / 1169

页数：13

共 23 条

[21] Keller-Osserman a priori estimates and the Harnack inequality for the evolution p-Laplace equation with singular absorption term
Skrypnik, I. I.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 467 (02) : 959 - 980
[22] Entire blow-up solutions for a quasilinear p-Laplacian Schrodinger equation with a non-square diffusion term
Zhang, Xinguang
Liu, Lishan
Wu, Yonghong
Cui, Yujun
APPLIED MATHEMATICS LETTERS, 2017, 74 : 85 - 93
[23] Nuclear data for production of the therapeutic radionuclides 32P, 64Cu 67Cu, 89Sr, 90Y and 153Sm via the (n,p) reaction:: Evaluation of excitation function and its validation via integral cross-section measurement using a 14MeV d(Be) neutron source
Al-Abyad, M
Spahn, I
Sudár, S
Morsy, M
Comsan, MNH
Csikai, J
Qaim, SM
Coenen, HH
APPLIED RADIATION AND ISOTOPES, 2006, 64 (06) : 717 - 724

← 1 2 3 →