Resumen de Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach

Giampiero Palatucci, Adriano Pisante, Yannick Sire

• We investigate a natural approximation by subcritical Sobolev embeddings of the Sobolev quotient for the fractional Sobolev spaces Hs for any 0 < s < N/2, using Γ-convergence techniques. We show that, for such approximations, optimal functions always exist and exhibit a concentration effect of the Hs energy at one point.