Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024574 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 21 Pages |
Abstract
In addition to lower bounds for the optimal quasisuperminimizing constant of u we also improve upon the earlier upper bounds due to Kinnunen and Martio. Moreover, our lower and upper bounds turn out to be quite close. We also study a similar phenomenon in pasting lemmas for quasisuperminimizers, where Q=Q1Q2 turns out to be optimal, and provide results on exact quasiminimizing constants of piecewise linear functions on the real line, which can serve as approximations of more general quasiminimizers.
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Authors
Anders Björn, Jana Björn, Riikka Korte,