Solvability of Some Elliptic Equations with a Nonlocal Boundary Condition
Aitzhanov S. Koshanov B. Kuntuarova A.
December 2024Multidisciplinary Digital Publishing Institute (MDPI)
Mathematics
2024#12Issue 24
In this work, we study a nonlocal boundary value problem for a quasilinear elliptic equation. Using the method of regularization and parameter continuation, we prove the existence and uniqueness of a regular solution to the nonlocal boundary value problem, i.e., a solution that possesses all generalized derivatives in the sense of S. L. Sobolev, which are involved in the corresponding equation.
method of regularization , nonlocal boundary value problem , quasilinear elliptic equation
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Department of Mathematics, Al-Farabi Kazakh National University, al-Farabi Ave. 71, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Shevchenko Str. 28, Almaty, 050010, Kazakhstan
Department of Mathematics and Mathematical Modeling, Abai Kazakh National Pedagogical University, Dostyk Ave. 13, Almaty, 050000, Kazakhstan
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
Department of Mathematics and Mathematical Modeling
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