Global compactness results for nonlocal problems

Lorenzo Brasco (1, 2) , Marco Squassina (3) , Yang Yang (4)

1 I2M - Institut de Mathématiques de Marseille
2 DMCS - Dipartimento di Matematica e Informatica = Department of Mathematics and Computer Science [Ferrara]
3 Unicatt - Università cattolica del Sacro Cuore [Brescia]
4 School of Science

We obtain a Struwe type global compactness result for a class of nonlinear nonlocal problems involving the fractional $p-$Laplacian operator and nonlinearities at critical growth.

Mots clés: global compactness; Fractional p-Laplacian; variational methods

Domaines: Analyse fonctionnelle [math.FA]; Equations aux dérivées partielles [math.AP]

Lorenzo Brasco, Marco Squassina, Yang Yang. Global compactness results for nonlocal problems. Discrete and Continuous Dynamical Systems - Series S, 2018, 11 (3), pp.391-424. ⟨10.3934/dcdss.2018022⟩. ⟨hal-01357619⟩