ELLIPTIC SYSTEMS WITH NONLINEAR DIFFUSION AND A CONVECTION TERM

被引：1

作者：

Boccardo, Lucio ^{[1
]}

Orsina, Luigi ^{[2
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Matemat, Ist Lombardo, Rome, Italy

[2] Sapienza Univ Roma, Dipartimento Matemat, Rome, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2022年

关键词：

Elliptic systems; diffusion equations; convection equations; nonlinear equations; entropy solutions; EQUATIONS;

D O I：

10.3934/dcds.2022056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove existence (and summability properties) of solutions for the following elliptic system {-div(A(x)del u + u(lambda) = -div(u(lambda) M(x)del psi) + f(x), in Omega, -div(M(x)del psi) = u(rho), in Omega, u = 0 = psi on partial derivative Omega, under some assumptions on lambda > 0, rho > 0 and f(x) in L-m(Omega), m >= 1.

引用

页码：1052 / 1069

页数：18

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