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 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.
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| Marcelo M. Disconzi |
Department of Mathematics
Nashville, TN 37240, USA
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