# On Dirichlet problem for second-order elliptic equations in the plane and uniform approximation problems for solutions of such equations

@inproceedings{Bagapsh2021OnDP, title={On Dirichlet problem for second-order elliptic equations in the plane and uniform approximation problems for solutions of such equations}, author={Astamur Bagapsh and Konstantin Yu. Fedorovskiy and Maksim Ya Mazalov}, year={2021} }

We consider the Dirichlet problem for solutions to general second-order homogeneous elliptic equations with constant complex coefficients. We prove that any Jordan domain with C-smooth boundary, 0 < α < 1, is not regular with respect to the Dirichlet problem for any not strongly elliptic equation Lf = 0 of this kind, which means that for any such domain G it always exists a continuous function on the boundary of G that can not be continuously extended to the domain under consideration to a…

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