Elliptic problems with integral diffusion

Yannick Sire[1]

  • [1] Laboratoire LATP CNRS UMR 7353 Université Aix-Marseille 13397 Marseille Cedex 20 France

Séminaire Laurent Schwartz — EDP et applications (2011-2012)

  • Volume: 2011-2012, page 1-10
  • ISSN: 2266-0607

Abstract

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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.

How to cite

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Sire, Yannick. "Elliptic problems with integral diffusion." Séminaire Laurent Schwartz — EDP et applications 2011-2012 (2011-2012): 1-10. <http://eudml.org/doc/251173>.

@article{Sire2011-2012,
abstract = {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.},
affiliation = {Laboratoire LATP CNRS UMR 7353 Université Aix-Marseille 13397 Marseille Cedex 20 France},
author = {Sire, Yannick},
journal = {Séminaire Laurent Schwartz — EDP et applications},
keywords = {fractional Laplacian; differential geometry; Riemannian manifold; existence of solution; regularity},
language = {eng},
pages = {1-10},
publisher = {Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Elliptic problems with integral diffusion},
url = {http://eudml.org/doc/251173},
volume = {2011-2012},
year = {2011-2012},
}

TY - JOUR
AU - Sire, Yannick
TI - Elliptic problems with integral diffusion
JO - Séminaire Laurent Schwartz — EDP et applications
PY - 2011-2012
PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2011-2012
SP - 1
EP - 10
AB - 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.
LA - eng
KW - fractional Laplacian; differential geometry; Riemannian manifold; existence of solution; regularity
UR - http://eudml.org/doc/251173
ER -

References

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