Regards

]]>I am preparing a talk for Dido Conference in Cité des Science of Tunis Tunisia on “geometry related to the Monge-Ampère equations”. Would you please send me documents related to this topic. Thanks and best regards. Lamia Bel Kenani Toukabri. Dep. Mathematiques, Institut Préparatoire aux Etudes d’Ingénieurs de Tunis. ]]>

1) is the average of the the function u on the sphere of radius r, in formulas

here stands for the surface measure of the sphere.

2) is the outer normal derivative of on , which is indeed the sphere of radius .

Hope that clears it up!

]]>1. f(r)

2. that appears in the second paragraph of the first proof

and , I assume means the sphere of radius r centered at x.

Thanks

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