A Global Compactness type result for Palais-Smale sequences in fractional Sobolev spaces

Giampiero Palatucci, Adriano Pisante

We extend the Global Compactness result by M. Struwe (Math. Z, 1984) to any fractional Sobolev spaces ${\dot{H}}^s(\Omega )$ for $0<s<N/2$ and $\Omega \subset {\mathbb{R}}^N$ a bounded domain with…