Calculus of Variations and Geometric Measure Theory
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An application of Q-curvature to the Adams-Moser-Trudinger embedding

Luca Martinazzi (University of Padua)

created by depascal on 29 Oct 2009

4 nov 2009

Abstract.

The next CVGMT seminar will be

Wednesday, November 4 Sala Seminari, Dipartimento di Matematica At 5 PM

Dr. Luca Martinazzi (Centro di Ricerca Matematica "Ennio De Giorgi")

Title: An application of Q-curvature to the Adams-Moser-Trudinger embedding

Abstract: We will briefly discuss the critical embedding of Trudinger, Moser and Adams of Sobolev spaces into Orlicz spaces and show a concentration-compactness result for critical points of such embedding. Quite interestingly, the proof of this result relies on the properties of conformal metrics on Euclidean space having constant Q-curvature, which we shall also discuss.

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