P-fractional Kirchhoff equations involving critical nonlinearities. (June 2017)

• Record Type: Journal Article
• Authors: Fiscella, Alessio; Pucci, Patrizia
• Is Part Of: Nonlinear analysis. Volume 35(2017)
• Page Start: 350
• Page End: 378
• Publication Date: 2017-06
• Subjects: Stationary Kirchhoff problems -- Nonlocal p-Laplacian operators -- Hardy coefficients -- Critical exponents; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.11.004
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The paper deals with Kirchhoff type equations on the whole space R N, 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.