Elliptic problems with integral diffusion

Sire, Yannick

Séminaire Laurent Schwartz — EDP et applications (2011-2012), Exposé no. 21, 10 p.

In this paper, we review several recent results dealing with elliptic equations with non local diffusion. More precisely, we investigate several problems involving the fractional laplacian. Finally, we present a conformally covariant operator and the associated singular and regular Yamabe problem.

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