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

In: Mathematica Slovaca, vol. 58, no. 5

H. M. Serag - A. H. Qamlo

Details:

Year, pages: 2008, 567 - 580

Keywords:

maximum principle, generalized maximum principle, positive solutions, cooperative and noncooperative semilinear systems, Schrödinger operators

About article:

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 ($φ_q$-positivity) for non cooperative systems.

How to cite:

ISO 690:

Serag, H., Qamlo, A. 2008. Maximum principle and existence of solutions for non necessarily cooperative systems involving Schrödinger operators. In Mathematica Slovaca, vol. 58, no.5, pp. 567-580. 0139-9918.

APA:

Serag, H., Qamlo, A. (2008). Maximum principle and existence of solutions for non necessarily cooperative systems involving Schrödinger operators. Mathematica Slovaca, 58(5), 567-580. 0139-9918.