scholarly journals Existence of solutions for modified Kirchhoff-type equation without the Ambrosetti-Rabinowitz condition

2021 ◽  
Vol 6 (5) ◽  
pp. 4614-4637
Author(s):  
Zhongxiang Wang ◽  
◽  
Gao Jia ◽  
Keyword(s):  
Existence Of Solutions ◽  
Type Equation ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation

scholarly journals Nontrivial Solutions for Time Fractional Nonlinear Schrödinger-Kirchhoff Type Equations

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
N. Nyamoradi ◽  
Y. Zhou ◽  
E. Tayyebi ◽  
B. Ahmad ◽  
A. Alsaedi
Keyword(s):  
Variational Methods ◽  
Fractional Derivatives ◽  
Existence Of Solutions ◽  
Type Equation ◽  
Nontrivial Solutions ◽  
Nonlinear Schrödinger ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation ◽  
Left And Right

We study the existence of solutions for time fractional Schrödinger-Kirchhoff type equation involving left and right Liouville-Weyl fractional derivatives via variational methods.

Existence results for a Kirchhoff type equation in Orlicz–Sobolev spaces

2017 ◽  
Vol 8 (3) ◽  
Author(s):  
EL Miloud Hssini ◽  
Najib Tsouli ◽  
Mustapha Haddaoui
Keyword(s):  
Variational Principle ◽  
Sobolev Spaces ◽  
Existence Of Solutions ◽  
Mountain Pass Theorem ◽  
Type Equation ◽  
Existence Results ◽  
Mountain Pass ◽  
Nonlocal Problems ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation

AbstractIn this paper, based on the mountain pass theorem and Ekeland’s variational principle, we show the existence of solutions for a class of non-homogeneous and nonlocal problems in Orlicz–Sobolev spaces.

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.

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