Interior regularity for strong solutions to a class of fully nonlinear elliptic equations

We obtain local pointwise second derivative estimates for W 2 , p W^{2,p} -strong solutions to a class of fully nonlinear elliptic equations on Euclidean domains, motivated by problems in conformal geometry.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2023-10, Vol.151 (10), p.4341-4354
1. Verfasser: Duncan, Jonah
Format: Artikel
Sprache:eng
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Zusammenfassung:We obtain local pointwise second derivative estimates for W 2 , p W^{2,p} -strong solutions to a class of fully nonlinear elliptic equations on Euclidean domains, motivated by problems in conformal geometry.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/16509