Calculus of Variations and Geometric Measure Theory

W. Chen - S. J. N. Mosconi - M. Squassina

Nonlocal problems with critical Hardy nonlinearity

created by squassina on 05 Nov 2017
modified on 28 Feb 2018


Accepted Paper

Inserted: 5 nov 2017
Last Updated: 28 feb 2018

Journal: J. Funct. Anal.
Pages: 36 pages
Year: 2018


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