Article ID Journal Published Year Pages File Type
4619954 Journal of Mathematical Analysis and Applications 2009 5 Pages PDF
Abstract

We prove analogies of the classical Gagliardo–Nirenberg inequalities‖∇kf‖s⩽C‖f‖q1−km‖∇mf‖pkm, when usual LpLp norms are replaced by variable Lp(⋅)Lp(⋅) norms.

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Related Topics
Physical Sciences and Engineering Mathematics Analysis
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Gagliardo–Nirenberg type inequality for variable exponent Lebesgue spaces
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