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.
Articolo in rivista - Articolo scientifico
stationary Kirchhoff problems, nonlocal p-Laplacian operators, Hardy coefficients, critical exponents
English
350
378
29
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/338144
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