Existence Result for Triangular Reaction-Diffusion Systems with L1 Data and Critical Growth with Respect to the Gradient

被引：9

作者：

Alaa, Nour Eddine ^{[1
]}

Salim, Mosbahi ^{[2
]}

机构：

[1] Fac Sci & Technol Marrakech, Lab LAMAI, Marrakech 40000, Morocco

[2] Univ Ferhat Abbas, Dept Math, Setif 19000, Algeria

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 01期

关键词：

elliptic; system; weak solution; truncation; GLOBAL EXISTENCE; ELLIPTIC-EQUATIONS; BOUNDEDNESS;

D O I：

10.1007/s00009-012-0238-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of weak solutions for m x m reaction-diffusion systems for which two main properties hold: the positivity of the solutions and the triangular structure. Moreover, the nonlinear terms have critical growth with respect to the gradient.

引用

页码：255 / 275

页数：21

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