On generalized Moser-Trudinger inequalities without boundary condition

Černý, Robert

Czechoslovak Mathematical Journal, Tome 62 (2012) no. 3, pp. 743-785

Abstract (VO)

We give a version of the Moser-Trudinger inequality without boundary condition for Orlicz-Sobolev spaces embedded into exponential and multiple exponential spaces. We also derive the Concentration-Compactness Alternative for this inequality. As an application of our Concentration-Compactness Alternative we prove that a functional with the sub-critical growth attains its maximum.

Détail

DOI : 10.1007/s10587-012-0044-3

Classification : 26D10, 46E30, 46E35, 49J99
Keywords: Orlicz space; Orlicz-Sobolev space; embedding theorem; sharp constant; Moser-Trudinger inequality; concentration-compactness principle

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