A Trudinger type inequality for maps into a Riemannian manifold

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Abstract

The tension field of a map into a Riemannian manifold is the equivalent to the Laplacian of a function. However in contrast to the latter, the tension field is given by a nonlinear differential operator. Nevertheless, it permits an extension of a well-known Trudinger inequality that involves an Orlicz space for a function with exponential growth.
Original languageEnglish
Pages (from-to)83-90
Number of pages8
JournalAnnals of Global Analysis and Geometry
Volume35
Issue number1
DOIs
Publication statusPublished - Mar 2009

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