Sobolev Inequalities: The Work of Louis and Beyond

Monday, November 2, 2015 - 9:30am - 10:30am
Keller 3-180
Haim Brezis (Rutgers, The State University of New Jersey)
The lecture is concerned with various aspects of the Sobolev inequalities on R^N in border line cases. In particular, I will explain how new results when p=N are connected to the solvability of linear elliptic equations with data in L^1 (based joint work with J. Bourgain). I also plan to discuss elliptic equations involving critical nonlinearities (revisiting a joint work with L. Nirenberg).
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