On a Sub-supersolution Method for Variational Inequalities with Leray-Lions Operators in Variable Exponent Spaces

Vy Khoi Le

doi:10.1016/j.na.2009.01.211

On a Sub-supersolution Method for Variational Inequalities with Leray-Lions Operators in Variable Exponent Spaces

Vy Khoi Le

Mathematics and Statistics

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

Abstract

In this paper, we consider a sub-supersolution method for variational inequalities with Leray-Lions operators in Sobolev spaces with variable exponents. Existence and qualitative properties of solutions between sub and supersolutions are established.

Original language	American English
Journal	Nonlinear Analysis: Theory, Methods and Applications
DOIs	https://doi.org/10.1016/j.na.2009.01.211
State	Published - Oct 1 2009

Keywords

general boundary conditions
subsolution
supersolution
variable exponent
variational inequalities

Disciplines

Mathematics
Statistics and Probability

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10.1016/j.na.2009.01.211License: Unspecified

https://doi.org/10.1016/j.na.2009.01.211

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title = "On a Sub-supersolution Method for Variational Inequalities with Leray-Lions Operators in Variable Exponent Spaces",

abstract = " In this paper, we consider a sub-supersolution method for variational inequalities with Leray-Lions operators in Sobolev spaces with variable exponents. Existence and qualitative properties of solutions between sub and supersolutions are established.",

keywords = "general boundary conditions, subsolution, supersolution, variable exponent, variational inequalities",

author = "Le, \{Vy Khoi\}",

year = "2009",

month = oct,

day = "1",

doi = "10.1016/j.na.2009.01.211",

language = "American English",

journal = "Nonlinear Analysis: Theory, Methods and Applications",

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AU - Le, Vy Khoi

PY - 2009/10/1

Y1 - 2009/10/1

N2 - In this paper, we consider a sub-supersolution method for variational inequalities with Leray-Lions operators in Sobolev spaces with variable exponents. Existence and qualitative properties of solutions between sub and supersolutions are established.

AB - In this paper, we consider a sub-supersolution method for variational inequalities with Leray-Lions operators in Sobolev spaces with variable exponents. Existence and qualitative properties of solutions between sub and supersolutions are established.

KW - general boundary conditions

KW - subsolution

KW - supersolution

KW - variable exponent

KW - variational inequalities

UR - https://scholarsmine.mst.edu/math_stat_facwork/515

UR - https://doi.org/10.1016/j.na.2009.01.211

U2 - 10.1016/j.na.2009.01.211

DO - 10.1016/j.na.2009.01.211

M3 - Article

JO - Nonlinear Analysis: Theory, Methods and Applications

JF - Nonlinear Analysis: Theory, Methods and Applications

ER -

On a Sub-supersolution Method for Variational Inequalities with Leray-Lions Operators in Variable Exponent Spaces

Abstract

Keywords

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