- V. V. Karachik, “On the arithmetic triangle arising from the solvability conditions for the Neumann problem”, Math Notes, 96, № 1-2, 2014, 217
- V. V. Karachik, “The Green Function of the Dirichlet Problem for the Triharmonic Equation in the Ball”, Math Notes, 107, № 1-2, 2020, 105
- Batirkhan Turmetov, Valery Karachik, “On Eigenfunctions and Eigenvalues of a Nonlocal Laplace Operator with Multiple Involution”, Symmetry, 13, № 10, 2021, 1781
- V. V. Karachik, B. Kh. Turmetov, B. T. Torebek, “On some integro-differential operators in the class of harmonic functions and their applications”, Sib. Adv. Math., 22, № 2, 2012, 115
- B. Kh. Turmetov, V. V. Karachik, “Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball”, Complex Variables and Elliptic Equations, 68, № 7, 2023, 1204
- Валерий Валентинович Карачик, Valeriy Valentinovich Karachik, “Об арифметическом треугольнике, возникающем из условий разрешимости задачи Неймана”, Математические заметки, 96, № 2, 2014, 228
- V. V. Karachik, “On one representation of analytic functions by harmonic functions”, Sib. Adv. Math., 18, № 2, 2008, 103
- V. V. Karachik, “Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation”, Diff Equat, 50, № 11, 2014, 1449
- Valery Karachik, “Green's functions of some boundary value problems for the biharmonic equation”, Complex Variables and Elliptic Equations, 67, № 7, 2022, 1712
- V. V. Karachik, “Class of Neumann-Type Problems for the Polyharmonic Equation in a Ball”, Comput. Math. and Math. Phys., 60, № 1, 2020, 144