Asymmetric critical fractional p-Laplacian problems

We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0$ is a constant, $p^\ast_s=Np/(N - sp)$ is t...

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Bibliographic Details
Main Authors: Li Huang, Yang Yang
Format: Article
Language:English
Published: Texas State University 2017-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/103/abstr.html