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.
Fiscella, A., Pucci, P. (2017). p-fractional Kirchhoff equations involving critical nonlinearities. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 35, 350-378 [10.1016/j.nonrwa.2016.11.004].
p-fractional Kirchhoff equations involving critical nonlinearities
Fiscella A
;
2017
Abstract
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.
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