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

Authors
Ashyralyev A. 1, 2, 3 , Sozen Y.4 , Hezenci F.5
Journal
International Journal of Applied Mathematics
Publisher
Academic Publications Ltd.
Number of issue
2
Language
English
Pages
411-421
Status
Published
Link
External link
DOI
10.12732/IJAM.V34I2.16
Volume
34
Year
2021
Organizations
  • 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
Keywords
differential equations on manifolds; hyperbolic plane; self-adjoint positive definite operator; well-posedness
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