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.

引用

页数：20

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