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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 194, Pages 55–70
DOI: https://doi.org/10.36535/0233-6723-2021-194-55-70 (Mi into816) 		 
A boundary-value problem for a class of four-dimensional degenerate elliptic equations

A. S. Berdyshevab, A. Hasanovc, A. Ryskanab

a Kazakh National Pedagogical University
b Institute of Information and Computational Technologies, Ministry of Education and Science, Republic of Kazakhstan
c V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan
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DOI: https://doi.org/10.36535/0233-6723-2021-194-55-70
Abstract: 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.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05131026
This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan (project No. AP05131026).
Document Type: Article
UDC: 517.956
MSC: 35J25, 35J70
Language: Russian
Citation: A. S. Berdyshev, A. Hasanov, A. Ryskan, “A boundary-value problem for a class of four-dimensional degenerate elliptic equations”, 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, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 194, VINITI, Moscow, 2021, 55–70
Citation in format AMSBIB
\Bibitem{BerHasRys21}
\by A.~S.~Berdyshev, A.~Hasanov, A.~Ryskan
\paper A boundary-value problem for a class of four-dimensional degenerate elliptic equations
\inbook 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
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 194
\pages 55--70
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into816}
\crossref{https://doi.org/10.36535/0233-6723-2021-194-55-70}
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