P-fractional Kirchhoff Equations Involving Critical Nonlinearities

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)The paper deals with Kirchhoff type equations on the whole space RN, driven by the p-fractional Laplace operator, involving critical Hardy Sobolev nonlinearities and nonnegative potentials. We present different variational approaches to overcome the lack of compactness at critical levels, due to the presence of critical terms as well as the possibly degenerate nature of the Kirchhoff problem. (C) 2016 Elsevier Ltd. All rights reserved.35350378Coordenactio de Aperfeiconamento de pessoal de nivel superior (CAPES) [33003017003P5-PNPD20131750-UNICAMP/MATEMATICA]Italian MIUR [201274FYK7]Gruppo Nazionale per l'Analisi Matematica, la Probability e le loro Applicazioni (GNAMPA)Istituto Nazionale di Alta Matematica (INdAM)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES