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arXiv · 1302.3780

Some a priori estimates for a critical Schrodinger-Newton equation

Marcelo M. Disconzi
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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 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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Marcelo M. Disconzi. 2013-02-15. Some a priori estimates for a critical Schrodinger-Newton equation. https://arxiv.org/abs/1302.3780

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