Ashyralyev, A.Sozen, Y.Hezenci, F.2021-12-012021-12-01202113111728https://doi.org/10.12732/ijam.v34i2.16https://hdl.handle.net/20.500.12684/9934In 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. © 2021en10.12732/ijam.v34i2.16info:eu-repo/semantics/openAccessdifferential equations on manifoldshyperbolic planeself-adjoint positive definite operatorwell-posednessArticle3424114212-s2.0-85106633134Q3