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
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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.
Share and Cite
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
Keywords
- Fractional \(p\)-Laplacian equation
- critical nonlinearity
- variational method
- critical points
MSC
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