scholarly journals Multiple Solutions for Asymptotically Linear Elliptic Systems

2001 ◽  
Vol 255 (1) ◽  
pp. 213-229 ◽  
Author(s):  
Wenming Zou
Keyword(s):  
Multiple Solutions ◽  
Elliptic Systems ◽  
Asymptotically Linear

scholarly journals Multiple Solutions for Asymptotically Linear Elliptic Systems

2008 ◽  
Vol 15 (6) ◽  
pp. 673-688 ◽  
Author(s):  
Fukun Zhao ◽  
Leiga Zhao ◽  
Yanheng Ding
Keyword(s):  
Multiple Solutions ◽  
Elliptic Systems ◽  
Asymptotically Linear

scholarly journals Multiple Solutions for the Asymptotically Linear Kirchhoff Type Equations onRN

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Yu Duan ◽  
Chun-Lei Tang
Keyword(s):  
Variational Method ◽  
Positive Solutions ◽  
Multiple Solutions ◽  
Asymptotically Linear ◽  
Kirchhoff Type ◽  
Multiplicity Of Positive Solutions

The multiplicity of positive solutions for Kirchhoff type equations depending on a nonnegative parameterλonRNis proved by using variational method. We will show that if the nonlinearities are asymptotically linear at infinity andλ>0is sufficiently small, the Kirchhoff type equations have at least two positive solutions. For the perturbed problem, we give the result of existence of three positive solutions.

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