Monday, February 18, 2013

1302.3780 (Marcelo M. Disconzi)

Some a priori estimates for a critical Schrodinger-Newton equation    [PDF]

Marcelo M. Disconzi
Under natural energy and decay assumptions, we derive a priori estimates for solutions of a Schrodinger-Newton type of equation with critical exponent. On 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.
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