Maximum principle and existence of solutions for non necessarily cooperative systems involving Schrödinger operators

Mathematica Slovaca

H. Serag¹  A. Qamlo¹ 

关键词: maximum principle;    generalized maximum principle;    positive solutions;    cooperative and noncooperative semilinear systems;    Schrödinger operators;   

DOI  :  10.2478/s12175-008-0094-z

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

In this paper, we obtain the necessary and sufficient conditions for having the maximum principle and existence of positive solutions for some cooperative systems involving Schrödinger operators defined on unbounded domains. Then, we deduce the existence of solutions for semi-linear systems. Finally we discuss the generalized maximum principle (gf q-positivity) for non cooperative systems.

【 授权许可】

Unknown