A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE GRADIENT ON A HALF SPACE

Aghajani Asadollah; Cowan Craig; Lui Shiu Hong

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A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE GRADIENT ON A HALF SPACE

机译：A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE GRADIENT ON A HALF SPACE

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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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来源
《Discrete and continuous dynamical systems》 |2023年第1期|378-391|共14页
作者
Aghajani Asadollah; Cowan Craig; Lui Shiu Hong;
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作者单位

Univ Manitoba;

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原文格式 PDF
正文语种英语
中图分类理论力学（一般力学）;
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;

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A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE GRADIENT ON A HALF SPACE

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