The Nehari manifold approach for dirichlet problem involving the p(x)-Laplacian equation

Rabil A. Mashiyev; Sezai Ogras; Zehra Yucedag; Mustafa Avci

doi:10.4134/JKMS.2010.47.4.845

The Nehari manifold approach for dirichlet problem involving the p(x)-Laplacian equation

Rabil A. Mashiyev
, Sezai Ogras
, Zehra Yucedag
, Mustafa Avci

Centre for Science

Dicle University

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

38 Citations (Scopus)

Abstract

In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.

Original language	English
Pages (from-to)	845-860
Number of pages	16
Journal	Journal of the Korean Mathematical Society
Volume	47
Issue number	4
DOIs	https://doi.org/10.4134/JKMS.2010.47.4.845
Publication status	Published - 2010

Keywords

Multiple positive solutions
Nehari manifold
Variable exponent Lebesgue-Sobolev spaces
Variational methods
p(x)-Laplacian

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10.4134/JKMS.2010.47.4.845

Cite this

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title = "The Nehari manifold approach for dirichlet problem involving the p(x)-Laplacian equation",

abstract = "In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.",

keywords = "Multiple positive solutions, Nehari manifold, Variable exponent Lebesgue-Sobolev spaces, Variational methods, p(x)-Laplacian",

author = "Mashiyev, \{Rabil A.\} and Sezai Ogras and Zehra Yucedag and Mustafa Avci",

year = "2010",

doi = "10.4134/JKMS.2010.47.4.845",

language = "English",

volume = "47",

pages = "845--860",

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TY - JOUR

T1 - The Nehari manifold approach for dirichlet problem involving the p(x)-Laplacian equation

AU - Mashiyev, Rabil A.

AU - Ogras, Sezai

AU - Yucedag, Zehra

AU - Avci, Mustafa

PY - 2010

Y1 - 2010

N2 - In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.

AB - In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.

KW - Multiple positive solutions

KW - Nehari manifold

KW - Variable exponent Lebesgue-Sobolev spaces

KW - Variational methods

KW - p(x)-Laplacian

UR - https://www.scopus.com/pages/publications/77958029968

U2 - 10.4134/JKMS.2010.47.4.845

DO - 10.4134/JKMS.2010.47.4.845

M3 - Journal Article

AN - SCOPUS:77958029968

SN - 0304-9914

VL - 47

SP - 845

EP - 860

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 4

ER -

The Nehari manifold approach for dirichlet problem involving the p(x)-Laplacian equation

Abstract

Keywords

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