A VARIATIONAL APPROACH TO DISCRETE ELLIPTIC PROBLEMS WITH A WEIGHT

Shapour Heidarkhani; Fariba Gharehgazlouei; Mustafa Avci

A VARIATIONAL APPROACH TO DISCRETE ELLIPTIC PROBLEMS WITH A WEIGHT

Shapour Heidarkhani, Fariba Gharehgazlouei, Mustafa Avci

Centre for Science

Razi University

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

Abstract

We establish sufficient conditions for the existence of at least three distinct nonnegative solutions for a discrete problem with a positive weight function. Technical approach used in this article is based on the critical point theory and variational method. We also provide an example to illustrate the result.

Original language	English
Pages (from-to)	377-390
Number of pages	14
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	29
Issue number	5
Publication status	Published - 2022

Keywords

Critical point theory
Discrete problems
Nonlinear algebraic systems
Variational approach

Cite this

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title = "A VARIATIONAL APPROACH TO DISCRETE ELLIPTIC PROBLEMS WITH A WEIGHT",

abstract = "We establish sufficient conditions for the existence of at least three distinct nonnegative solutions for a discrete problem with a positive weight function. Technical approach used in this article is based on the critical point theory and variational method. We also provide an example to illustrate the result.",

keywords = "Critical point theory, Discrete problems, Nonlinear algebraic systems, Variational approach",

author = "Shapour Heidarkhani and Fariba Gharehgazlouei and Mustafa Avci",

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year = "2022",

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volume = "29",

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T1 - A VARIATIONAL APPROACH TO DISCRETE ELLIPTIC PROBLEMS WITH A WEIGHT

AU - Heidarkhani, Shapour

AU - Gharehgazlouei, Fariba

AU - Avci, Mustafa

PY - 2022

Y1 - 2022

N2 - We establish sufficient conditions for the existence of at least three distinct nonnegative solutions for a discrete problem with a positive weight function. Technical approach used in this article is based on the critical point theory and variational method. We also provide an example to illustrate the result.

AB - We establish sufficient conditions for the existence of at least three distinct nonnegative solutions for a discrete problem with a positive weight function. Technical approach used in this article is based on the critical point theory and variational method. We also provide an example to illustrate the result.

KW - Critical point theory

KW - Discrete problems

KW - Nonlinear algebraic systems

KW - Variational approach

UR - https://www.scopus.com/pages/publications/85139389133

M3 - Journal Article

AN - SCOPUS:85139389133

SN - 1201-3390

VL - 29

SP - 377

EP - 390

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 5

ER -

A VARIATIONAL APPROACH TO DISCRETE ELLIPTIC PROBLEMS WITH A WEIGHT

Abstract

Keywords

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