Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains
Volume 69 / 1998
Annales Polonici Mathematici 69 (1998), 129-154
DOI: 10.4064/ap-69-2-129-154
Abstract
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.
