First explicit constrained Willmore minimizers of non-rectangular conformal class
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DOI: 10.1016/j.aim.2021.107804
Abstract: We study immersed tori in $3$-space minimizing the Willmore energy in their respective conformal class. Within the rectangular conformal classes $\;(0,b)\;$ with $\;b \sim 1\;$ the homogenous tori $\;f^b\;$ are known to be the unique… read more here.
Keywords: rectangular conformal; minimizers non; non rectangular; willmore minimizers ... See more keywords
Regularity of quasi-minimizers for non-uniformly elliptic integrals
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DOI: 10.1016/j.jmaa.2019.123838
Abstract: Abstract In this paper we consider a class of non-uniformly elliptic integral functionals and we prove the local boundedness of the quasi-minimizers. Our approach is based on a suitable adaptation of the celebrated De Giorgi… read more here.
Keywords: minimizers non; elliptic integrals; regularity quasi; uniformly elliptic ... See more keywords