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arXiv · 1306.6782

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

Giampiero Palatucci·Adriano Pisante·Yannick Sire
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Abstract

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

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Giampiero Palatucci, Adriano Pisante, Yannick Sire. 2013-06-28. Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach. https://arxiv.org/abs/1306.6782

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