A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE GRADIENT ON A HALF SPACE

被引：1

作者：

Aghajani, Asadollah ^{[1
,2
]}

Cowan, Craig ^{[3
]}

Lui, Shiu Hong ^{[3
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

[3] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2023年 / 43卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Nonlinear elliptic problem; diffusive Hamilton-Jacobi equations; Liouville-type theorem; SINGULAR SOLUTIONS; POSITIVE SOLUTIONS; BOUNDARY SINGULARITIES; EQUATIONS; EXISTENCE; DOMAINS; CLASSIFICATION; SYSTEMS; GROWTH; TERMS;

D O I：

10.3934/dcds.2022152

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider perturbations of the diffusive Hamilton-Jacobi equation {-Delta u = (1 + g(x)) vertical bar del u vertical bar(p) in R-+(N), u = 0 on partial derivative R-+(N), for p > 1. We prove the existence of a classical solution provided p is an element of(4/3, 2) and g is bounded with uniform radial decay to zero.

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收藏

页码：378 / 391

页数：14

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