We consider generalized solutions to the Dirichlet problem for linear elliptic second order equations in a domain bounded by a Dini-Lyapunov surface and containing a conical point. For such solutions we derive Dini estimates for the first order generalized derivatives.
@article{bwmeta1.element.bwnjournal-article-apmv69z2p129bwm,
author = {Mikhail Borsuk},
title = {Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains},
journal = {Annales Polonici Mathematici},
volume = {69},
year = {1998},
pages = {129-154},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv69z2p129bwm}
}
Mikhail Borsuk. Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains. Annales Polonici Mathematici, Tome 69 (1998) pp. 129-154. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv69z2p129bwm/
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