Multiple solutions for perturbed non-local fractional Laplacian equations

In article we consider problems modeled by the non-local fractional Laplacian equation $$\displaylines{ (-\Delta)^s u=\lambda f(x,u)+\mu g(x,u) \quad\text{in } \Omega\cr u=0 \quad\text{in } \mathbb{R}^n\setminus \Omega, }$$ where $s\in (0,1)$ is fixed, $(-\Delta )^s$ is the fractional Lapla...

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Bibliographic Details
Main Authors: Massimiliano Ferrara, Luca Guerrini, Binlin Zhang
Format: Article
Language:English
Published: Texas State University 2013-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/260/abstr.html