Geodesic
Solving a problem of Robin type for biharmonic equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2018), pp. 39-53

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We investigate existence and uniqueness conditions for solution to one Robin type problem for inhomogeneous biharmonic equation in the unit ball. We construct polynomial solution to the problem when the boundary functions of the problems are polynomials.
Keywords: biharmonic equation, Robin type problem, harmonic polynomials, solvability conditions
Mots-clés : polynomial solutions. 
@article{IVM_2018_2_a4,
     author = {V. V. Karachik},
     title = {Solving a problem of {Robin} type for biharmonic equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {39--53},
     publisher = {mathdoc},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_2_a4/}
}
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V. V. Karachik. Solving a problem of Robin type for biharmonic equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2018), pp. 39-53. http://geodesic.mathdoc.fr/item/IVM_2018_2_a4/