A variational inequality of Kirchhoff-type in [Formula: see text]

Jiabin Zuo; Tianqing An; Wei Liu

doi:10.1186/s13660-018-1921-6

A variational inequality of Kirchhoff-type in $R^{N}$

J Inequal Appl. 2018;2018(1):329. doi: 10.1186/s13660-018-1921-6. Epub 2018 Nov 28.

Authors

Jiabin Zuo^{1

2}, Tianqing An¹, Wei Liu¹

Affiliations

¹ 1College of Science, Hohai University, Nanjing, P.R. China.
² 2Faculty of Applied Sciences, Jilin Engineering Normal University, Changchun, P.R. China.

Abstract

In this paper, we investigate the existence of nontrivial radial solutions for a kind of variational inequalities in $R^{N}$ . Our main technique is the non-smooth critical point theory, based on the Szulkin-type functionals.

Keywords: Kirchhoff-type; Mountain pass theorem; Radial solutions; Variational inequality.