Displaying similar documents to “Divergence forms of the infinity-Laplacian.”

Remarks on subharmonic envelopes.

Duong Ngoc Son (2006)

Publicacions Matemàtiques

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We prove that the subharmonic envelope of a lower semicontinuous function on Omega is harmonic on a certain open subset of Omega, using a very classical method in potential theory. The result gives simple proofs of theorems on harmonic measures and Jensen measures obtained by Cole and Ransford.

A Schwarz lemma for correspondences and applications.

Kaushal Verma (2003)

Publicacions Matemàtiques

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A version of the Schwarz lemma for correspondences is studied. Two applications are obtained namely, the 'non-increasing' property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a 'non-compact' family of proper correspondences.