Ninth MSU-UAB Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 20 (2013), pp. 39-51.

Title: A priori estimates for a critical Schrodinger-Newton equation

Author: Marcelo M. Disconzi (Vanderbilt Univ., Nashville, TN, USA)
	  
Abstract: 
 Under natural energy and decay assumptions, we derive a priori
 estimates for solutions of a Schrodinger-Newton type of equation
 with critical exponent. On the one hand, such an equation generalizes
 the traditional Schrodinger-Newton and Choquard equations;
 while, on the other hand, it is naturally related to problems
 involving scalar curvature and conformal deformation of metrics.

Published October 31, 2013.
Math Subject Classifications: 35J60.
Key Words: Elliptic equation; critical exponent; a priori estimates;
           Schrodinger-Newton.