Existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation via genus theory

Mustafa Avci; Bilal Cekic; Rabil A. Mashiyev

doi:10.1002/mma.1485

Existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation via genus theory

Mustafa Avci, Bilal Cekic, Rabil A. Mashiyev

Centre for Science

Dicle University

Research output: Contribution to journal › Journal Article › peer-review

64 Citations (Scopus)

Abstract

Communicated by Song Jiang In this paper, by using variational approach and Krasnoselskii's genus theory, we show the existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation.

Original language	English
Pages (from-to)	1751-1759
Number of pages	9
Journal	Mathematical Methods in the Applied Sciences
Volume	34
Issue number	14
DOIs	https://doi.org/10.1002/mma.1485
Publication status	Published - 30 Sep. 2011

Keywords

genus theory
nonlocal problems
p(x)-Kirchhoff type equation
variational method

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10.1002/mma.1485

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@article{1805537924a148dc952319db3491be8f,

title = "Existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation via genus theory",

abstract = "Communicated by Song Jiang In this paper, by using variational approach and Krasnoselskii's genus theory, we show the existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation.",

keywords = "genus theory, nonlocal problems, p(x)-Kirchhoff type equation, variational method",

author = "Mustafa Avci and Bilal Cekic and Mashiyev, \{Rabil A.\}",

year = "2011",

month = sep,

day = "30",

doi = "10.1002/mma.1485",

language = "English",

volume = "34",

pages = "1751--1759",

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T1 - Existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation via genus theory

AU - Avci, Mustafa

AU - Cekic, Bilal

AU - Mashiyev, Rabil A.

PY - 2011/9/30

Y1 - 2011/9/30

N2 - Communicated by Song Jiang In this paper, by using variational approach and Krasnoselskii's genus theory, we show the existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation.

AB - Communicated by Song Jiang In this paper, by using variational approach and Krasnoselskii's genus theory, we show the existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation.

KW - genus theory

KW - nonlocal problems

KW - p(x)-Kirchhoff type equation

KW - variational method

UR - https://www.scopus.com/pages/publications/81155160861

U2 - 10.1002/mma.1485

DO - 10.1002/mma.1485

M3 - Journal Article

AN - SCOPUS:81155160861

SN - 0170-4214

VL - 34

SP - 1751

EP - 1759

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 14

ER -

Existence and multiplicity of the solutions of the p(x)-Kirchhoff type equation via genus theory

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Keywords

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