It was shown in Bjorn-Bjorn-Korte [5] that u := min{u(1), u(2)} is a (Q) over bar -quasisuper-minimizer if u(1) and u(2) are Q-quasisuperminimizers and (Q) over bar = 2Q(2)/(Q+1). Moreover, one-dimensional examples therein show that (Q) over bar is close to optimal. In this paper we give similar examples in higher dimensions. The case when u(1) and u(2) have different quasisuperminimizing constants is considered as well.
Funding Agencies|Swedish Research CouncilSwedish Research Council [2016-03424, 621-2014-3974]; SIDA (Swedish International Development Cooperation Agency) project "Capacity building in Mathematics and its applications" under the SIDA bilateral programme [3162014]; Makerere University