A Trudinger type inequality for maps into a Riemannian manifold

Reference:

Moser, R., 2009. A Trudinger type inequality for maps into a Riemannian manifold. Annals of Global Analysis and Geometry, 35 (1), pp. 83-90.

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Official URL:

http://dx.doi.org/10.1007/s10455-008-9123-y

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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