Extremal functions for the sharp $L^2-$ Nash inequality

Emmanuel Humbert (1)

1 IECN - Institut Élie Cartan de Nancy

We give geometrical conditions under which there exist extremal functions for the sharp $L^2$-Nash inequality.

Domaines: Géométrie différentielle [math.DG]

Emmanuel Humbert. Extremal functions for the sharp $L^2-$ Nash inequality. Calculus of Variations and Partial Differential Equations, 2005, 22, No 1, p 21-44. ⟨hal-00138199⟩