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Maximum principle and existence of solutions for non necessarily cooperative systems involving Schrödinger operators
Journal article   Open access  Peer reviewed

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

H. Serag and A. Qamlo
Mathematica Slovaca, Vol.58(5), pp.567-580
01/10/2008
DOI: https://doi.org/10.2478/s12175-008-0094-z

Abstract

cooperative and noncooperative semilinear systems generalized maximum principle maximum principle positive solutions Primary 35P30, 35J70 Schrödinger operators
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.
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