Minima of quasisuperminimizers
Abstract
Let ui be a Qi-quasisuperminimizer, i=1,2, and u=minu1,u2, where 1 <= Q1 <= Q2. Then u is a quasisuperminimizer, and we improve upon the known upper bound (due to Kinnunen and Martio) for the optimal quasisuperminimizing constant Q of u. We give the first examples with Q>Q2, and show that in general Q>Q2 whenever Q1 >1. We also study the blowup of the quasisuperminimizing constant in pasting lemmas.
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