A Kirchhoff-type equation involving critical exponent and sign-changing weight functions in dimension four

2018 ◽  
Vol 41 (13) ◽  
pp. 5159-5177 ◽  
Author(s):  
Qing-Jun Lou
Keyword(s):  
Critical Exponent ◽  
Type Equation ◽  
Weight Functions ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation

scholarly journals Solutions of Nonlocal -Laplacian Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Mustafa Avci ◽  
Rabil Ayazoglu (Mashiyev)
Keyword(s):  
Laplace Operator ◽  
Variational Approach ◽  
Nonlocal Problem ◽  
Type Equation ◽  
Multiplicity Of Solutions ◽  
Kirchhoff Type ◽  
Existence And Multiplicity ◽  
Kirchhoff Type Equation ◽  
Laplacian Equations

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.

scholarly journals On a fractional Kirchhoff-type equation via Krasnoselskii’s genus

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