Geodesic
Smoothness of generalized solutions of the Dirichlet problem for strongly elliptic functional differential equations with orthotropic contractions
Contemporary Mathematics. Fundamental Directions, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 1, Tome 58 (2015), pp. 153-165

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In the disk, we consider the first boundary-value problem for a functional differential equation containing transformations of orthotropic contractions of independent variables of the unknown function. We study the smoothness of generalized solutions inside special-type subdomains and near their boundaries and pose strong ellipticity conditions. 
@article{CMFD_2015_58_a8,
     author = {A. L. Tasevich},
     title = {Smoothness of generalized solutions of the {Dirichlet} problem for strongly elliptic functional differential equations with orthotropic contractions},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {153--165},
     publisher = {mathdoc},
     volume = {58},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2015_58_a8/}
}
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A. L. Tasevich. Smoothness of generalized solutions of the Dirichlet problem for strongly elliptic functional differential equations with orthotropic contractions. Contemporary Mathematics. Fundamental Directions, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 1, Tome 58 (2015), pp. 153-165. http://geodesic.mathdoc.fr/item/CMFD_2015_58_a8/