Existence of solutions for an elliptic equation with nonstandard growth

M. Avci; R. Ayazoglu Mashiyev; B. Cekic

doi:10.12732/ijpam.v86i1.10

Existence of solutions for an elliptic equation with nonstandard growth

M. Avci, R. Ayazoglu Mashiyev, B. Cekic

Centre for Science

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

2 Citations (Scopus)

Abstract

This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.

Original language	English
Pages (from-to)	131-139
Number of pages	9
Journal	International Journal of Pure and Applied Mathematics
Volume	86
Issue number	1
DOIs	https://doi.org/10.12732/ijpam.v86i1.10
Publication status	Published - 2013

Keywords

Ekeland variational principle
Mountain pass theorem
P(x)-Laplace operator
Variable exponent Sobolev spaces
Variational method

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10.12732/ijpam.v86i1.10

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title = "Existence of solutions for an elliptic equation with nonstandard growth",

abstract = "This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.",

keywords = "Ekeland variational principle, Mountain pass theorem, P(x)-Laplace operator, Variable exponent Sobolev spaces, Variational method",

author = "M. Avci and Mashiyev, \{R. Ayazoglu\} and B. Cekic",

year = "2013",

doi = "10.12732/ijpam.v86i1.10",

language = "English",

volume = "86",

pages = "131--139",

number = "1",

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TY - JOUR

T1 - Existence of solutions for an elliptic equation with nonstandard growth

AU - Avci, M.

AU - Mashiyev, R. Ayazoglu

AU - Cekic, B.

PY - 2013

Y1 - 2013

N2 - This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.

AB - This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.

KW - Ekeland variational principle

KW - Mountain pass theorem

KW - P(x)-Laplace operator

KW - Variable exponent Sobolev spaces

KW - Variational method

UR - https://www.scopus.com/pages/publications/84880286212

U2 - 10.12732/ijpam.v86i1.10

DO - 10.12732/ijpam.v86i1.10

M3 - Journal Article

AN - SCOPUS:84880286212

SN - 1311-8080

VL - 86

SP - 131

EP - 139

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 1

ER -

Existence of solutions for an elliptic equation with nonstandard growth

Abstract

Keywords

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