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The quasiminimizing constant for the mini¬mum of two quasi-superminimizers in Rn.

TitleThe quasiminimizing constant for the mini¬mum of two quasi-superminimizers in Rn.
Publication TypeJournal Article
Year of Publication2020
AuthorsBjörn, A, Björn, J, Ismail, M
JournalAnnales Academiæ Scientiarum Fennicæ Mathematica
Volume45
Issue1
Pagination215-225
Date PublishedJanuary 2020
Abstract

It was shown in Björn–Björn–Korte [5] that u := min{u1, u2} is a Q-quasisuperminimizer if u1 and u2 are Q-quasisuperminimizers and Q = 2Q2/(Q+1). Moreover, one-dimensional examples therein show that Q is close to optimal. In this paper we give similar examples in higher dimensions. The case when u1 and u2 have different quasisuperminimizing constants is considered as well. 

URLhttp://www.acadsci.fi/mathematica/Vol45/vol45pp0215-0225.pdf
DOI10.5186/aasfm.2020.4508