Global second order Sobolev-regularity of p-harmonic functions

نویسندگان

چکیده

We prove a global version of the classical result that p-harmonic functions belong to Wloc2,2 for 1<p<3+2n−2. The proof relies on Cordes' matrix inequalities [7] and techniques from work Cianchi Maz'ya [5], [6].

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2022

ISSN: ['1090-2732', '0022-0396']

DOI: https://doi.org/10.1016/j.jde.2022.08.022