Geodesic
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) no. 2, pp. 129-154.

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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.
DOI : 10.4064/ap-69-2-129-154
Keywords: elliptic equations, nonsmooth domains, Dini continuous, smoothness of generalized solutions

Michail Borsuk 1

1 
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Michail 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) no. 2, pp. 129-154. doi : 10.4064/ap-69-2-129-154. http://geodesic.mathdoc.fr/articles/10.4064/ap-69-2-129-154/

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