Geodesic
A boundary-value problem for a class of four-dimensional degenerate elliptic equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Tome 194 (2021), pp. 55-70

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The solvability of the problem with mixed Neumann–Dirichlet conditions for a degenerate four-dimensional elliptic equation are studied. The uniqueness of a solution to the problem is proved by the method based on the energy integral.
Keywords: degenerate four-dimensional elliptic equation, boundary-value problem with Neumann–Dirichlet conditions, Gellerstedt equation in four variables, fundamental solution, Lauricella and Gauss hypergeometric functions. 
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     title = {A boundary-value problem for a class of four-dimensional degenerate elliptic equations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
     volume = {194},
     year = {2021},
     language = {ru},
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A. S. Berdyshev; A. Hasanov; A. Ryskan. A boundary-value problem for a class of four-dimensional degenerate elliptic equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Tome 194 (2021), pp. 55-70. http://geodesic.mathdoc.fr/item/INTO_2021_194_a5/