We study the fractional -Laplacian problem with Hardy–Sobolev exponents. We prove: there is a such that for any , the above problem possesses infinitely many solutions. We achieve our goal by making use of variational methods, more specifically, the Nehari manifold and Lusternik–Schnirelmann theory.
"Multiple solutions for the fractional $p$-Laplacian equation with Hardy–Sobolev exponents." Rocky Mountain J. Math. 51 (1) 363 - 374, February 2021. https://doi.org/10.1216/rmj.2021.51.363