Inserted: 5 nov 2017
Last Updated: 6 nov 2017
Pages: 35 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