ABSTRACT
This article deals with the study of the following critical exponent problem where is the n-dimensional hyperbolic space, , is the critical exponent, are real parameters, denotes the Laplace–Beltrami operator on and is a real valued potential function on . Using variational methods, we establish the existence of positive ground state solution to and study the convergence of these solutions when μ approaches .
Acknowledgments
I am grateful to anonymous referees for carefully reading the manuscript and their suggestions which has improved the quality of this article.
Disclosure statement
No potential conflict of interest was reported by the author.