On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball
Sadybekov M. Dukenbayeva A.
2022Taylor and Francis Ltd.
Complex Variables and Elliptic Equations
2022#67Issue 2369 - 383 pp.
In this paper, we consider nonlocal boundary value problems for the Laplace operator in a ball, which are a multidimensional generalisation of the Samarskii–Ionkin problem. The well-posedness of the problems are investigated, and Fredholm property of the problems are studied. Moreover, we obtain integral representations of their solutions in explicit forms.
35J05 , 35J25 , boundary value problem , Laplace operator , nonlocal boundary value problem , Poissons equation , Samarskii–Ionkin problem
Text of the article Перейти на текст статьи
Institute of Mathematics and Mathematical Modelling, Almaty, Kazakhstan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
Institute of Mathematics and Mathematical Modelling
Al-Farabi Kazakh National University
Department of Mathematics: Analysis
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026