On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball
Batirkhan TurmetovDepartment of Mathematics, Akhmet Yasawi International Kazakh-Turkish University, B. Sattarkhanov street, 29, Turkistan, 161200, KazakhstanRavshan AshurovInstitute of Mathematics National University of Uzbekistan, Hodjaeva st., 29, Tashkent, 100125, Uzbekistan
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ABI
Annotatsiya
In this work the Neumann boundary value problem for a non-homogeneous polyharmonic equation is studied in a unit ball. Necessary and sufficient conditions for solvability of this problem are found. To do this we first reduce the Neumann problem to the Dirichlet problem for a different non-homogeneous polyharmonic equation and then use the Green function of the Dirichlet problem. MSC:35J40, 35J30, 35A01.
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