Regularizing effects in some elliptic systems with a convection term

被引：0
|
作者：
Boccardo, Lucio [1 ]
Orsina, Luigi [2 ]
机构：
[1] Sapienza Univ Roma, Ist Lombardo, Rome, Italy
[2] Sapienza Univ Roma, Rome, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 521卷 / 02期
关键词：
Systems of elliptic equations; Summability of solutions; Regularizing effect;
D O I：
10.1016/j.jmaa.2022.126963
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study existence and summability of positive solutions for the elliptic system {- div((a(x) + u)(rho) del u) + u = - div(u M(x)del psi) + f(x), in Omega, - div(M(x)del psi) = u(lambda) , in Omega. Here rho >= 1 and lambda > 0, while f(x) >= 0 is a function in L-m(Omega), m >= 1. The main feature of the system is that it exhibits a regularizing effect: the solutions are more regular than those of the two equations taken singularly. (c) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页数：17
相关论文
共 50 条
12345