Inserted: 5 nov 2017
Last Updated: 28 feb 2018
Journal: J. Funct. Anal.
Pages: 36 pages
By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.
Keywords: fractional $p$-Laplacian problems, Sobolev-Hardy inequality, Critical exponents