Solutions of \(p\)-Kirchhoff type problems with critical nonlinearity in \(\mathbb{R}^N\)

Volume 11, Issue 2, pp 172--188 http://dx.doi.org/10.22436/jnsa.011.02.01
Publication Date: January 21, 2018 Submission Date: June 10, 2017 Revision Date: November 12, 2017 Accteptance Date: November 24, 2017

Authors

Yueqiang Song - Scientific Research Department, Changchun Normal University, Changchun 130032, Jilin, P. R. China. Shaoyun Shi - School of Mathematics & State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130012, Jilin, P. R. China.


Abstract

In this paper, we are interested in the existence of weak solutions for the fractional p-Laplacian equation with critical nonlinearity in \(\mathbb R^N\). By using fractional version of concentration compactness principle together with variational method, we obtain the existence and multiplicity of solutions for the above problem.


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ISRP Style

Yueqiang Song, Shaoyun Shi, Solutions of \(p\)-Kirchhoff type problems with critical nonlinearity in \(\mathbb{R}^N\), Journal of Nonlinear Sciences and Applications, 11 (2018), no. 2, 172--188

AMA Style

Song Yueqiang, Shi Shaoyun, Solutions of \(p\)-Kirchhoff type problems with critical nonlinearity in \(\mathbb{R}^N\). J. Nonlinear Sci. Appl. (2018); 11(2):172--188

Chicago/Turabian Style

Song, Yueqiang, Shi, Shaoyun. "Solutions of \(p\)-Kirchhoff type problems with critical nonlinearity in \(\mathbb{R}^N\)." Journal of Nonlinear Sciences and Applications, 11, no. 2 (2018): 172--188


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