p-fractional Kirchhoff equations involving critical nonlinearities

• Published in: Nonlinear analysis: real world applications Vol. 35; pp. 350 - 378
• Main Authors: Fiscella, Alessio, Pucci, Patrizia
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.06.2017; Elsevier BV
• Subjects: Critical exponents; Hardy coefficients; Mathematical analysis; Mathematical problems; Nonlinear equations; Nonlocal [formula omitted]-Laplacian operators; Stationary Kirchhoff problems; Nonlocal p-Laplacian operators; Hardy coefficients; Stationary Kirchhoff problems; Critical exponents

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...