On a sub–supersolution method for variational inequalities with Leray–Lions operators in variable exponent spaces

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.

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Vydáno v:Nonlinear analysis Ročník 71; číslo 7; s. 3305 - 3321
Hlavní autor: Le, Vy Khoi
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier Ltd 01.10.2009
Elsevier
Témata:
Calculus of variations and optimal control
Exact sciences and technology
General boundary conditions
Global analysis, analysis on manifolds
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Sciences and techniques of general use
Subsolution
Supersolution
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Variable exponent
Variational inequalities
35J65
35J60
35B45
General boundary conditions
Supersolution
Variable exponent
Subsolution
Variational inequalities
Nonlinear analysis
Operator inequality
Boundary condition
Variational inequality
Mathematical model
ISSN:0362-546X, 1873-5215
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Shrnutí: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.
Bibliografie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.01.211