Multiple solutions of a p-Kirchhoff equation with singular and critical nonlinearities

Date

2017-03-27

Authors

Li, Qin
Yang, Zuodong
Feng, Zhaosheng

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we explore the existence of multiple solutions for a p-Kirchhoff equation with the nonlinearity containing both singular and critical terms. By means of the concentration compactness principle and Ekeland's variational principle, we obtain two positive weak solutions.

Description

Keywords

Weak solution, p-Kirchhoff equation, p-Laplacian, Quasilinear elliptic equation, Variational principle, Concentration compactness principle

Citation

Li, Q., Yang, Z., & Feng, Z. (2017). Multiple solutions of a p-Kirchhoff equation with singular and critical nonlinearities. <i>Electronic Journal of Differential Equations, 2017</i>(84), pp. 1-14.

Rights

Attribution 4.0 International

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