Existence of Ground State Sign-Changing Solutions of Fractional Kirchhoff-Type Equation with Critical Growth

2021 ◽  
Author(s):  
Wen Guan ◽  
Hai-Feng Huo
Keyword(s):  
Ground State ◽  
Type Equation ◽  
Critical Growth ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation ◽  
Sign Changing Solutions

The existence of a ground-state solution for a class of Kirchhoff-type equations in ℝN

2016 ◽  
Vol 146 (2) ◽  
pp. 371-391 ◽  
Author(s):  
Jiu Liu ◽  
Jia-Feng Liao ◽  
Chun-Lei Tang
Keyword(s):  
Ground State ◽  
Type Equation ◽  
Ground State Solution ◽  
State Solution ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation ◽  
Image Position

In this paper, we study the following Kirchhoff-type equation: where a, b are positive constants and N = 1, 2, 3. Under appropriate assumptions on V, K and g, we obtain a ground-state solution by using the approach developed by Szulkin and Weth in 2010.

Existence and Asymptotic Behaviour for a Kirchhoff Type Equation With Variable Critical Growth Exponent

2017 ◽  
Vol 85 (1) ◽  
pp. 71-102 ◽  
Author(s):  
Elard Juárez Hurtado ◽  
Olímpio Hiroshi Miyagaki ◽  
Rodrigo da Silva Rodrigues
Keyword(s):  
Asymptotic Behaviour ◽  
Type Equation ◽  
Critical Growth ◽  
Growth Exponent ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation
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