Seminar Analysis: Federica Sani ( Università di Milano)

On Moser type inequalities in the whole space

The Trudinger-Moser inequality is a substitute for the well known Sobolev embedding theorem when the limiting case is considered. We discuss Moser type inequalities in the whole space which involve complete and reduced Sobolev norm.Then we investigate the optimal growth rate of the exponential type function both in the first order case and in the higher order case.

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