Structure of conformal metrics on R^n with constant Q-curvature

Ali Hyder
2015
In this article we study the nonlocal equation ( ) n 2 u = (n 1)!e nu in R n , Z R n e nu dx < 1, which arises in the conformal geometry. Inspired by the previous work of C. S. Lin and L. Martinazzi in even dimension and T. Jin, A. Maalaoui, L. Martinazzi, J. Xiong in dimension three we classify all solutions to the above equation in terms of their behavior at infinity.
doi:10.5451/unibas-ep70009 fatcat:6ozovtffiffxtmk42jk7uxmkjq