Lipschitz Properties in Variable Exponent Problems via Relative Rearrangement
Lipschitz Properties in Variable Exponent Problems via Relative Rearrangement
摘要
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.
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