scholarly journals On the Brezis–Nirenberg problem for a Kirchhoff type equation in high dimension

2021 ◽  
Vol 60 (1) ◽  
Author(s):  
F. Faraci ◽  
K. Silva
Keyword(s):  
High Dimension ◽  
Type Equation ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation ◽  
Nirenberg Problem

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

scholarly journals On the Existence of Nontrivial Solutions for Nonlocal Elliptic Kirchhoff Type Problems with Nonlinear Boundary Conditions

2015 ◽  
Vol 55 (1) ◽  
pp. 183-188
Author(s):  
S. H. Rasouli ◽  
B. Salehi
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Boundary ◽  
Type Equation ◽  
Nonlinear Boundary Conditions ◽  
Mountain Pass ◽  
Mountain Pass Lemma ◽  
Nontrivial Solutions ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation ◽  
Kirchhoff Type Problems

Abstract In this paper, by using the Mountain Pass Lemma, we study the existence of nontrivial solutions for a nonlocal elliptic Kirchhoff type equation together with nonlinear boundary conditions.

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