Sign changing solutions of the Brezis-Nirenberg problem in the   Hyperbolic space
  In this article we will study the existence and nonexistence of sign changing solutions for the Brezis-Nirenberg type problem in the Hyperbolic space. We will also establish sharp asymptotic estimates for the solutions and the compactness properties of solutions. 
Debdip Ganguly and K.Sandeep
math.AP