On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition

On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition

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.

Bibliographic Details
Main Authors: Zehra Yucedag, Mustafa Avci, Rabil Mashiyev
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2012-04-01
Series:Mathematical Modelling and Analysis
Subjects:
variational method
p(x)-Kirchhoff-type equation
variable exponent Lebesgue–Sobolev space
nonlocal problems
Ekeland variational principle
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/4848
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spelling doaj-9465f7eb97344138881c0d033010abf82021-07-02T11:52:47ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102012-04-0117210.3846/13926292.2012.655788On an elliptic system of p(x)-Kirchhoff-type under neumann boundary conditionZehra Yucedag0Mustafa Avci1Rabil Mashiyev2Faculty of Science, Dicle University 21280 Diyarbakir, TurkeyFaculty of Science, Dicle University 21280 Diyarbakir, TurkeyFaculty of Science, Dicle University 21280 Diyarbakir, Turkey 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. https://journals.vgtu.lt/index.php/MMA/article/view/4848variational methodp(x)-Kirchhoff-type equationvariable exponent Lebesgue–Sobolev spacenonlocal problemsEkeland variational principle
collection DOAJ
language English
format Article
sources DOAJ
author Zehra Yucedag
Mustafa Avci
Rabil Mashiyev
spellingShingle Zehra Yucedag
Mustafa Avci
Rabil Mashiyev
On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition
Mathematical Modelling and Analysis
variational method
p(x)-Kirchhoff-type equation
variable exponent Lebesgue–Sobolev space
nonlocal problems
Ekeland variational principle
author_facet Zehra Yucedag
Mustafa Avci
Rabil Mashiyev
author_sort Zehra Yucedag
title On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition
title_short On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition
title_full On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition
title_fullStr On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition
title_full_unstemmed On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition
title_sort on an elliptic system of p(x)-kirchhoff-type under neumann boundary condition
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2012-04-01
description 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.
topic variational method
p(x)-Kirchhoff-type equation
variable exponent Lebesgue–Sobolev space
nonlocal problems
Ekeland variational principle
url https://journals.vgtu.lt/index.php/MMA/article/view/4848
work_keys_str_mv AT zehrayucedag onanellipticsystemofpxkirchhofftypeunderneumannboundarycondition
AT mustafaavci onanellipticsystemofpxkirchhofftypeunderneumannboundarycondition
AT rabilmashiyev onanellipticsystemofpxkirchhofftypeunderneumannboundarycondition
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