Lipschitz Properties in Variable Exponent Problems via Relative Rearrangement

The author first studies the Lipschitz properties of the monotone and relative rearrangement mappings in variable exponent Lebesgue spaces completing the result given in [9]. This paper is ended by establishing the Lipschitz properties for quasilinear problems with variable exponent when the right-h...

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Bibliographic Details
Published inChinese annals of mathematics. Serie B Vol. 31; no. 6; pp. 991 - 1006
Main Author Rakotoson, Jean-Michel
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.11.2010
UMR 6086 CNRS.Laboratoire de Mathématiques,Université de Poitiers,SP2MI,Boulevard Marie et Pierre Curie,Téléport 2,BP30179,86962 Futuroscope Chasseneuil Cedex,France
Subjects
Applications of Mathematics
Lipschitz
Mathematics
Mathematics and Statistics
Sobolev指数
勒贝格
对偶空间
性能指数
空间映射
线性问题
35J20
46E35
Monotone rearrangement
46E30
35B45
35B65
Relative rearrangement
Variable exponents
Quasi-linear equations
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Summary:The author first studies the Lipschitz properties of the monotone and relative rearrangement mappings in variable exponent Lebesgue spaces completing the result given in [9]. This paper is ended by establishing the Lipschitz properties for quasilinear problems with variable exponent when the right-hand side is in some dual spaces of a suitable Sobolev space associated to variable exponent.
Bibliography:Monotone rearrangement
O174.41
Monotone rearrangement; Relative rearrangement; Variable exponents; Quasi-linear equations
Relative rearrangement
31-1329/O1
TQ246.35
Variable exponents
Quasi-linear equations
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-010-0608-1