Multiple solutions for critical elliptic problems with fractional Laplacian

This article is devoted to the study of the nonlocal fractional equation involving critical nonlinearities $$\displaylines{ (-\Delta)^{\alpha/2} u=\lambda u+|u|^{2^{\ast}_{\alpha}-2}u \quad \text{in } \Omega,\cr u=0 \quad \text{on } \partial \Omega, }$$ where $\Omega$ is a smooth bounded d...

Full description

Bibliographic Details
Main Authors: Guowei Lin, Xiongjun Zheng
Format: Article
Language:English
Published: Texas State University 2016-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/97/abstr.html