The impact of a lower order term in a Dirichlet problem with a singular nonlinearity

IF 0.5 4区数学 Q3 MATHEMATICS

Portugaliae Mathematica Pub Date : 2020-07-15 DOI:10.4171/PM/2041

L. Boccardo, G. Croce

引用次数: 9

Abstract

In this paper we study the existence and regularity of solutions to the following Dirichlet problem        −div(a(x)|∇u| p−2 ∇u) + u|u| r−1 = f (x) u θ in Ω, u > 0 in Ω, u = 0 on ∂Ω proving that the lower order term u|u| r−1 has some regularizing effects on the solutions. Mathematics Subject Classification (2010). 35J66, 35J75

查看原文本刊更多论文

奇异非线性Dirichlet问题中低阶项的影响

本文研究了以下Dirichlet问题−div(a(x)|∇u| p−2∇u) + u|u| r−1 = f (x) u θ在Ω中，u >在Ω中，u = 0在∂Ω中，证明了低阶项u|u| r−1对解有一定的正则化作用。数学学科分类(2010)。35 j66 35 j75

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Portugaliae Mathematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Since its foundation in 1937, Portugaliae Mathematica has aimed at publishing high-level research articles in all branches of mathematics. With great efforts by its founders, the journal was able to publish articles by some of the best mathematicians of the time. In 2001 a New Series of Portugaliae Mathematica was started, reaffirming the purpose of maintaining a high-level research journal in mathematics with a wide range scope.