Abstract
The solvability of a new class of boundary value problems for the Laplace equation is studied. The problem considered is a generalization of the classical Robin problem. Exact conditions are established for the solvability of the problem, and integral solution representations are constructed for various cases of data.
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Funding
This work was supported by the Ministry of Education of Science of the Republic of Kazakhstan, project no. AP05131268.
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Russian Text © The Author(s), 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 9, pp. 1179–1187.
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Turmetov, B.K. Generalization of the Robin Problem for the Laplace Equation. Diff Equat 55, 1134–1142 (2019). https://doi.org/10.1134/S0012266119090027
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DOI: https://doi.org/10.1134/S0012266119090027