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The Cauchy Problem for the p-Laplacian Equation with a Nonlinear Source
被引：0
作者：
雷沛东
机构：
关键词：
p Laplacian equation;
existence;
uniqueness;
large time behaviour;
D O I：
10.13447/j.1674-5647.2001.01.017
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
070104 ;
摘要：
In this paper we study the existence and uniqueness of positive solutions for the p Laplacian equation with nonlinear sourceut=div(|Du| p-2 Du)+u -q , p>2, 0<q<∞in the class of functions with some prescribed growth rate as |x|→∞. We also give a description of the large time behaviour and show that it is determined by the competition between the diffusion and the source.
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页码：91 / 102
页数：12
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