ON BITSADZE-SAMARSKII TYPE ELLIPTIC
DIFFERENTIAL PROBLEMS ON HYPERBOLIC PLANE
Allaberen Ashyralyev1,2,3, Yasar Sozen4,
Fatih Hezenci5
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, RUSSIA
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

Abstract

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 well- posedness 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 Hölder norms.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 2
Year: 2021

DOI: 10.12732/ijam.v34i2.16

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