Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 60, pp. 1-19.

Title: Harnack inequalities, a priori estimates, and sufficient statistics
       for nonlinear elliptic systems in quantum mechanics

Author: Carlos C. Aranda (Blue Angel Navire research laboratory, QC, Canada)

Abstract:
 In this article, we consider systems of nonlinear elliptic problems and
 their relations with minimal sufficient statistics, which is a fundamental
 tool in classics statistics. This allows us to introduce new experimental
 tools in quantum  physics.

Submitted August 10, 211. Published April 12, 2012.
Math Subject Classifications: 35A20, 35B05, 35B40.
Key Words: A priori bounds; integral relation method; quantum mechanics; 
           celestial mechanics.