Bifurcation Results for a Fractional Quasilinear System with Critical Nonlinearities
Zhen Zhi
Institute of Mathematics, School of Mathematics Science, Nanjing Normal University, Jiangsu Nanjing 210023, China.
Zuodong Yang *
School of Teacher Education, Nanjing Normal University, Jiangsu Nanjing 210097, China and School of Teacher Education, Nanjing University of Information Science and Technology, Jiangsu Nanjing 210044, China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we prove bifurcation results for a fractional quasilinear system with critical nonlinearities. Under different assumptions on the exponents of nonlinearities, we give existence results respectively.
Keywords: Fractionalp-qLaplacian, critical nonlinearities, variational methods