Kirchhoff–Hardy Fractional Problems with Lack of Compactness
By A. Fiscella, Patrizia Pucci. 2017
96 citations recorded by the source corpus.
Abstract This paper deals with the existence and the asymptotic behavior of nontrivial solutions for some classes of stationary Kirchhoff problems driven by a fractional integro-differential operator and involving a Hardy potential and different critical nonlinearities. In particular, we cover the delicate degenerate case, that is, when the Kirchhoff function M is zero at zero. To overcome the difficulties due to the lack of compactness as well as the degeneracy of the models, we have to make use of different approaches.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/bc599438971db8ca7f6b4b894e1262184a98994f
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In Applied Mathematics
- A. Fiscella
- Patrizia Pucci
- Binlin Zhang
- Raffaella Servadei
- Mingqi Xiang
- Giovanni Molica Bisci
- T. Mukherjee
- Patrick Winkert
In Computational Theory and Mathematics
- A. Fiscella
- Patrizia Pucci
- Binlin Zhang
- Raffaella Servadei
- Mingqi Xiang
- Giovanni Molica Bisci
- T. Mukherjee
- Patrick Winkert
Citations in the corpus
- A fractional Kirchhoff problem involving a singular term and a critical nonlinearity (2017, background): “Concerning fractional Kirchhoffproblems involving critical nonlinearities, we refer to [2, 9, 13, 14, 16, 23] for existence results and to [5, 12, 24, 25, 29] for multiplicity results.”