TY - JOUR
T1 - A Trudinger type inequality for maps into a Riemannian manifold
AU - Moser, R
PY - 2009/3
Y1 - 2009/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=59849092012&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1007/s10455-008-9123-y
U2 - 10.1007/s10455-008-9123-y
DO - 10.1007/s10455-008-9123-y
M3 - Article
SN - 1572-9060
VL - 35
SP - 83
EP - 90
JO - Annals of Global Analysis and Geometry
JF - Annals of Global Analysis and Geometry
IS - 1
ER -