Abstract:
Necessary and sufficient solvability conditions are obtained for a nonhomogeneous Neumann problem for a polyharmonic equation in the unit ball.
Citation:
V. V. Karachik, “On solvability conditions for a Neumann problem for a polyharmonic equation in the unit ball”, Sib. Zh. Ind. Mat., 16:4 (2013), 61–74; J. Appl. Industr. Math., 8:1 (2014), 63–75
\Bibitem{Kar13}
\by V.~V.~Karachik
\paper On solvability conditions for a~Neumann problem for a~polyharmonic equation in the unit ball
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 4
\pages 61--74
\mathnet{http://mi.mathnet.ru/sjim805}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3234793}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 1
\pages 63--75
\crossref{https://doi.org/10.1134/S1990478914010074}
Linking options:
https://www.mathnet.ru/eng/sjim805
https://www.mathnet.ru/eng/sjim/v16/i4/p61
This publication is cited in the following 32 articles:
V. V. Karachik, “Bigarmonicheskaya zadacha Neimana s dvoinoi involyutsiei”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 16:3 (2024), 18–26
Valery V. Karachik, Batirkhan Kh. Turmetov, Springer Proceedings in Mathematics & Statistics, 351, Functional Analysis in Interdisciplinary Applications—II, 2021, 75
Karachik V., Turmetov B., “on Solvability of Some Nonlocal Boundary Value Problems For Biharmonic Equation”, Math. Slovaca, 70:2 (2020), 329–342
V. V. Karachik, “Neumann Type Problems for the Polyharmonic Equation in Ball”, J Math Sci, 249:6 (2020), 974
V. V. Karachik, “Class of Neumann-type problems for the polyharmonic equation in a ball”, Comput. Math. Math. Phys., 60:1 (2020), 144–162
Karachik V.V., Turmetov B.K., “On Green'S Function of the Robin Problem For the Poisson Equation”, Adv. Pure Appl. Math., 10:3 (2019), 203–213
V. V. Karachik, “Solving a problem of Robin type for biharmonic equation”, Russian Math. (Iz. VUZ), 62:2 (2018), 34–48
V. V. Karachik, B. Kh. Turmetov, “On the Green's function for the third boundary value problem”, Siberian Adv. Math., 29:1 (2019), 32–43
V. V. Karachik, “Riquier-Neumann problem for the polyharmonic equation in a ball”, Differ. Equ., 54:5 (2018), 648–657
I. A. Gulyaschikh, “Razreshimost odnoi zadachi tipa Neimana dlya trigarmonicheskogo uravneniya v share”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 9:3 (2017), 5–12
V. V. Karachik, “Zadacha tipa Neimana dlya poligarmonicheskogo uravneniya v share”, Chelyab. fiz.-matem. zhurn., 2:4 (2017), 420–429
V. V. Karachik, “Integral Identities on a Sphere For Normal Derivatives of Polyharmonic Functions”, Sib. Electron. Math. Rep., 14 (2017), 533–551
Sh. Dubey, A. Kumar, M. M. Mishra, “Polyharmonic Neumann and mixed boundary value problems in the Heisenberg group Hn”, Complex Var. Elliptic Equ., 62:10, SI (2017), 1506–1518
V. V. Karachik, “Generalized third boundary value problem for the biharmonic equation”, Differ. Equ., 53:6 (2017), 756–765
B. Kh. Turmetov, “On the solvability of some boundary value problems for the inhomogeneous polyharmonic equation with boundary operators of the Hadamard type”, Differ. Equ., 53:3 (2017), 333–344
I. A. Gulyaschikh, “Odnorodnaya zadacha Dirikhle–Rike dlya neodnorodnogo bigarmonicheskogo uravneniya v share”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 8:1 (2016), 57–60
V. V. Karachik, “A Neumann-type problem for the biharmonic equation”, Siberian Adv. Math., 27:2 (2017), 103–118
V. V. Karachik, B. T. Torebek, “On one mathematical model described by boundary value problem for the biharmonic equation”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 9:4 (2016), 40–52
H. Yuan, “Dirichlet type problems for Dunkl-Poisson equations”, Bound. Value Probl., 2016, 222
H. Yuan, “Solutions of the Poisson equation and related equations in super spinor space”, Comput. Methods Funct. Theory, 16:4 (2016), 699–715
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