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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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK

    Roger Moser

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  1. Roger Moser
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Correspondence to Roger Moser.

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Moser, R. A Trudinger type inequality for maps into a Riemannian manifold. Ann Glob Anal Geom 35, 83–90 (2009). https://doi.org/10.1007/s10455-008-9123-y

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  • DOI: https://doi.org/10.1007/s10455-008-9123-y

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