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Renormalized solutions for nonlinear elliptic equations with variable exponents and L1 data

Article ID Journal Published Year Pages File Type
843949 Nonlinear Analysis: Theory, Methods & Applications 2009 17 Pages PDF
Abstract

We prove existence and uniqueness of a renormalized solution to nonlinear elliptic equations with variable exponents and L1L1 data. The functional setting involves Lebesgue–Sobolev space with variable exponents W1,p(⋅)(Ω)W1,p(⋅)(Ω).

Keywords
35D0535A0535J70Renormalized solutionVariable exponentsUniquenessExistence
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Renormalized solutions for nonlinear elliptic equations with variable exponents and L1 data
Authors
Mostafa Bendahmane, Petra Wittbold,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
35D05
35A05
35J70
Renormalized solution
Variable exponents
Uniqueness
Existence
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