scholarly journals Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance the case of the simple eigenvalue

1978 ◽  
Vol 28 (2) ◽  
pp. 220-245 ◽  
Author(s):  
Antonio Ambrosetti ◽  
Giovanni Mancini
Keyword(s):  
Linear Part ◽  
Elliptic Problems ◽  
Simple Eigenvalue ◽  
Nonlinear Elliptic Problems ◽  
Multiplicity Results ◽  
Nonlinear Elliptic ◽  
Existence And Multiplicity ◽  
At Resonance

Existence and Multiplicity of Solutions for Nonlinear Elliptic Problems with the Fractional Laplacian

2015 ◽  
Vol 18 (1) ◽  
Author(s):  
Qing-Mei Zhou ◽  
Ke-Qi Wang
Keyword(s):  
Eigenvalue Problem ◽  
Critical Points ◽  
Fractional Laplacian ◽  
Nonlinear Eigenvalue Problem ◽  
Elliptic Problems ◽  
Nonlinear Elliptic Problems ◽  
Three Solutions ◽  
Multiplicity Of Solutions ◽  
Nonlinear Elliptic ◽  
Existence And Multiplicity

AbstractIn this paper we consider a nonlinear eigenvalue problem driven by the fractional Laplacian. By applying a version of the three-critical-points theorem we obtain the existence of three solutions of the problem in

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