Geodesic
Integral estimates of solutions to boundary values problems for the Poisson equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2023), pp. 70-76 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider solutions to two boundary values problems for the Poisson equation on plane domains. We prove several estimates for integrals of solutions using geometric characteristics of domains.
Mots-clés : Poisson equation
Keywords: Dirichlet problem, boundary values problem, isoperimetric inequality. 
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     title = {Integral estimates of solutions to boundary values problems for the {Poisson} equation},
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F. G. Avkhadiev; A. R. Kacimov. Integral estimates of solutions to boundary values problems for the Poisson equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2023), pp. 70-76. http://geodesic.mathdoc.fr/item/IVM_2023_10_a5/

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