On bitsadze-samarskii type elliptic differential problems on hyperbolic plane

In the present article, we consider nonlocal boundary value problems (NBVP) of elliptic type on relatively compact domains in the hyperbolic plane. We establish the wellposedness of Neumann-Bitsadze-Samarskii type and also Dirichlet-Bitsadze-Samarskii type on such domains. Furthermore, we establish new coercivity inequalities for solutions of such elliptic NBVP on relatively compact domains in the hyperbolic plane with various H¨older norms. © 2021

Авторы
Ashyralyev A. 1, 2, 3 , Sozen Y.4 , Hezenci F.5
Издательство
Academic Publications Ltd.
Номер выпуска
2
Язык
Английский
Страницы
411-421
Статус
Опубликовано
Том
34
Год
2021
Организации
  • 1 Department of Mathematics, Near East University, Nicosia TRNC Mersin – 10, Turkey
  • 2 Peoples’ Friendship University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
  • 4 Department of Mathematics, Hacettepe University Beytepe, Ankara, 06800, Turkey
  • 5 Department of Mathematics, Duzce University Konuralp, Duzce, 81620, Turkey
Ключевые слова
differential equations on manifolds; hyperbolic plane; self-adjoint positive definite operator; well-posedness
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