%0 Journal Article %J Communications in Contemporary MathematicsCommunications in Contemporary Mathematics %D 2021 %T Non-well-ordered lower and upper solutions for semilinear systems of PDEs %A Alessandro Fonda %A Giuliano Klun %A Andrea Sfecci %X

We prove existence results for systems of boundary value problems involving elliptic second-order differential operators. The assumptions involve lower and upper solutions, which may be either well-ordered, or not at all. The results are stated in an abstract framework, and can be translated also for systems of parabolic type.We prove existence results for systems of boundary value problems involving elliptic second-order differential operators. The assumptions involve lower and upper solutions, which may be either well-ordered, or not at all. The results are stated in an abstract framework, and can be translated also for systems of parabolic type.

%B Communications in Contemporary MathematicsCommunications in Contemporary Mathematics %P 2150080 %8 2021/08/27 %@ 0219-1997 %G eng %U https://doi.org/10.1142/S0219199721500802 %! Commun. Contemp. Math.