Abstract
The aim of this paper is to study a nonlocal elliptic problem in (denoted as below) involving the fractional Laplacian, a linear Hardy potential term and a critical nonlinear term. According to suitable assumptions on the set of extremal points of the functional coefficients, we prove that has multiple positive solutions, and we determine their precise behavior near the extremal points. This work extends a previous article by the first author et al. on the local case.
Acknowledgments
The authors would like to thank the editor for drawing their attention to the references [Citation16,Citation24,Citation25]. Part of this work was realized while the first and the second authors were visiting the ‘Institut Elie Cartan’, Université de Lorraine. They would like to thank the Institute for the warm hospitality.
Disclosure statement
No potential conflict of interest was reported by the author(s).