Calculus of Variations and Geometric Measure Theory
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W. Chen - S. J. N. Mosconi - M. Squassina

Nonlocal problems with critical Hardy nonlinearity

created by squassina on 05 Nov 2017
modified on 06 Nov 2017

[BibTeX]

Preprint

Inserted: 5 nov 2017
Last Updated: 6 nov 2017

Pages: 35 pages
Year: 2017

Abstract:

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


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