Radial solutions for a fractional Kirchhoff type equation in $$\mathbb {R}^N$$

Author(s):  
Mohammed Massar ◽  
Mohamed Talbi
2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Qi Zhang ◽  
Xiaoli Zhu

We are concerned with the existence of multiple solutions to the nonhomogeneous Kirchhoff type equation where are positive constants, , we can find a constant such that for all the equation has at least two radial solutions provided .


2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Mustafa Avci ◽  
Rabil Ayazoglu (Mashiyev)

In view of variational approach we discuss a nonlocal problem, that is, a Kirchhoff-type equation involving -Laplace operator. Establishing some suitable conditions, we prove the existence and multiplicity of solutions.


2015 ◽  
Vol 94 (3-4) ◽  
pp. 347-361 ◽  
Author(s):  
Giovany M. Figueiredo ◽  
Giovanni Molica Bisci ◽  
Raffaella Servadei

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