Open AccessElliptic problems with integral diffusion
Author(s) -
Yannick Sire
Publication year - 2014
Publication title -
séminaire laurent schwartz — edp et applications
Language(s) - English
Resource type - Journals
ISSN - 2266-0607
DOI - 10.5802/slsedp.16
Subject(s) - laplace operator , mathematics , covariant transformation , diffusion , operator (biology) , elliptic operator , mathematical analysis , pure mathematics , mathematical physics , physics , biochemistry , chemistry , repressor , gene , transcription factor , thermodynamics
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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