scholarly journals Three solutions for a fractional (p(x,.),q(x,.))-Kirchhoff type elliptic system

2020 ◽  
Vol 2020 (1) ◽  
Keyword(s):  
Elliptic System ◽  
Three Solutions ◽  
Kirchhoff Type

scholarly journals Multiplicity of Solutions for Nonlocal Elliptic System of(p,q)-Kirchhoff Type

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Bitao Cheng ◽  
Xian Wu ◽  
Jun Liu
Keyword(s):  
Elliptic System ◽  
Critical Points ◽  
Three Solutions ◽  
Multiplicity Of Solutions ◽  
Periodic Condition ◽  
Kirchhoff Type ◽  
Three Critical Points Theorem ◽  
Palais Smale Condition

This paper is concerned with the following nonlocal elliptic system of (p,q)-Kirchhoff type−[M1(∫Ω|∇u|p)]p−1Δpu=λFu(x,u,v), in Ω,−[M2(∫Ω|∇v|q)]q−1Δqv=λFv(x,u,v), in Ω,u=v=0, on∂Ω.Under bounded condition onMand some novel and periodic condition onF, some new results of the existence of two solutions and three solutions of the above mentioned nonlocal elliptic system are obtained by means of Bonanno's multiple critical points theorems without the Palais-Smale condition and Ricceri's three critical points theorem, respectively.

Three solutions for a nonlocal fractional p-Kirchhoff type elliptic system

2019 ◽  
pp. 1-18 ◽  
Author(s):  
Elhoussine Azroul ◽  
Abdelmoujib Benkirane ◽  
Athmane Boumazourh ◽  
Mohammed Srati
Keyword(s):  
Elliptic System ◽  
Three Solutions ◽  
Kirchhoff Type

scholarly journals Existence of three solutions for a nonlocal elliptic system of (p,q)-Kirchhoff type

2013 ◽  
Vol 2013 (1) ◽  
pp. 175 ◽  
Author(s):  
Guang-Sheng Chen ◽  
Hui-Yu Tang ◽  
De-Quan Zhang ◽  
Yun-Xiu Jiao ◽  
Hao-Xiang Wang
Keyword(s):  
Elliptic System ◽  
Three Solutions ◽  
Kirchhoff Type

scholarly journals ON AN ELLIPTIC SYSTEM OF P(X)-KIRCHHOFF-TYPE UNDER NEUMANN BOUNDARY CONDITION

2012 ◽  
Vol 17 (2) ◽  
pp. 161-170 ◽  
Author(s):  
Zehra Yucedag ◽  
Mustafa Avci ◽  
Rabil Mashiyev
Keyword(s):  
Boundary Condition ◽  
Weak Solution ◽  
Variational Principle ◽  
Variational Method ◽  
Elliptic System ◽  
Neumann Boundary Condition ◽  
Existence Of Solutions ◽  
Neumann Boundary ◽  
Kirchhoff Type ◽  
Direct Variational Method

In the present paper, by using the direct variational method and the Ekeland variational principle, we study the existence of solutions for an elliptic system of p(x)-Kirchhoff-type under Neumann boundary condition and show the existence of a weak solution.

scholarly journals A Class of Variable-Order Fractional p · -Kirchhoff-Type Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Yong Wu ◽  
Zhenhua Qiao ◽  
Mohamed Karim Hamdani ◽  
Bingyu Kou ◽  
Libo Yang
Keyword(s):  
Weak Solution ◽  
Variational Principle ◽  
Variational Method ◽  
Elliptic System ◽  
Type Systems ◽  
Ekeland Variational Principle ◽  
Variable Order ◽  
Variable Exponents ◽  
Kirchhoff Type ◽  
Direct Variational Method

This paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional p x -operator. With the help of the direct variational method and Ekeland variational principle, we show the existence of a weak solution. This is our first attempt to study this kind of system, in the case of variable-order fractional variable exponents. Our main theorem extends in several directions previous results.

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