Mathematics – Analysis of PDEs
Scientific paper
2009-10-06
Mathematics
Analysis of PDEs
Scientific paper
We show that the Moser-Trudinger inequality holds in a conformal disc if and
only if the metric is bounded from above by the Hyperbolic metric. We also find
a necessary and sufficient condition for the Moser-Trudinger inequality to hold
in an unbounded subset of the two dimensional Euclidean space.
Mancini Guido
Sandeep K.
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