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| Lipschitz Properties in Variable Exponent Problems via Relative Rearrangement |
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Citation： |
Jean-Michel RAKOTOSON.Lipschitz Properties in Variable Exponent Problems via Relative Rearrangement[J].Chinese Annals of Mathematics B,2010,31(6):991~1006 |
| Page view： 2171
Net amount： 1275 |
Authors： |
Jean-Michel RAKOTOSON; |
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| Abstract： |
The author rst 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. |
Keywords： |
Monotone rearrangement, Relative rearrangement, Variable exponents,
Quasi-linear equations |
Classification： |
46E30, 46E35, 35B45, 35B65, 35J20 |
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