Signed and sign-changing solutions for a class Kirchhoff-type problem involving the fractional p-Laplacian with critical Hardy nonlinearity
Analysis of PDEs
2018-11-26 v1
Abstract
In this paper, we study the existence of three solutions for a Kirchhoff equation involving the nonlocal fractional p-Laplacian considering Sobolev and Hardy nonlinearities at subcritical and critical growths. The proof is based on Mountain Pass Theorem, Ekeland's variational principle and constrained minimization in Nehari sets.
Keywords
Cite
@article{arxiv.1811.09555,
title = {Signed and sign-changing solutions for a class Kirchhoff-type problem involving the fractional p-Laplacian with critical Hardy nonlinearity},
author = {Rodrigo de Freitas Gabert and Rodrigo da Silva Rodrigues},
journal= {arXiv preprint arXiv:1811.09555},
year = {2018}
}