Ninth MSUUAB Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 20 (2013), pp. 3951.
A priori estimates for a critical SchrodingerNewton equation
Marcelo M. Disconzi
Abstract:
Under natural energy and decay assumptions, we derive a priori
estimates for solutions of a SchrodingerNewton type of equation
with critical exponent. On the one hand, such an equation generalizes
the traditional SchrodingerNewton 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;
SchrodingerNewton.
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Marcelo M. Disconzi
Department of Mathematics
Vanderbilt University
Nashville, TN 37240, USA
email: marcelo.disconzi@vanderbilt.edu

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