Regularity and comparison principles for p-Laplace equations with vanishing source term

被引：35
|
作者：
Sciunzi, Berardino [1 ]
机构：
[1] UNICAL, Dipartimento Matemat, I-87036 Arcavacata Di Rende, Cosenza, Italy
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2014年 / 16卷 / 06期
关键词：
p-Laplace equations; regularity theory; Harnack inequality; comparison principles; POSITIVE SOLUTIONS; WEAK SOLUTIONS; MONOTONICITY; SYMMETRY; MAXIMUM;
D O I：
10.1142/S0219199714500138
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove some sharp estimates on the summability properties of the second derivatives of solutions to the equation -Delta(p)u = f(x), under suitable assumptions on the source term. As an application, we deduce some strong comparison principles for the p-Laplacian, in the case of vanishing source terms.
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页数：20
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