UNIQUENESS RESULT FOR NONLINEAR ANISOTROPIC ELLIPTIC EQUATIONS

被引：0

作者：

Di Nardo, Rosaria ^{[1
]}

Feo, Filomena ^{[2
]}

Guibe, Olivier ^{[3
]}

机构：

[1] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy

[2] Univ Napoli Parthenope, Dipartimento Tecnol, Ctr Direz Isola C4, I-80100 Naples, Italy

[3] Univ Rouen, Lab Math Raphael Salem, CNRS, F-76801 St Etienne, France

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2013年 / 18卷 / 5-6期

关键词：

LOWER-ORDER TERMS; RENORMALIZED SOLUTIONS; EXISTENCE; ADVECTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider here a class of anisotropic elliptic equations, in a bounded domain Cl with Lipschitz continuous boundary delta Omega, of the type - partial derivative(xi)(ai(x,u)vertical bar partial derivative x(i) u vertical bar(pi-2)partial derivative(xi)u) = f- div g with Dirichlet boundary conditions. Using the framework of renormalized solutions we prove the uniqueness of the solution under a very local Lipschitz condition on the coefficients a(i)(x, s) with respect to s and with f belonging to L-1(Omega).

引用

页码：433 / 458

页数：26

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