On bitsadze-samarskii type elliptic differential problems on hyperbolic plane

Ashyralyev A. Sozen Y. Hezenci F.
2021 Academic Publications Ltd.

International Journal of Applied Mathematics
2021 #34 Issue 2 411 - 421 pp.

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.

differential equations on manifolds , hyperbolic plane , self-adjoint positive definite operator , well-posedness

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Department of Mathematics, Near East University, Nicosia TRNC Mersin – 10, Turkey
Peoples’ Friendship University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics, Hacettepe University Beytepe, Ankara, 06800, Turkey
Department of Mathematics, Duzce University Konuralp, Duzce, 81620, Turkey

Department of Mathematics
Peoples’ Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
Department of Mathematics

10 лет помогаем публиковать статьи Международный издатель

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