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In this chapter, we will focus on the directional derivative of the rearrangement, i.e. the map \(\displaystyle u\in L^p({\Omega }),\ (1\leqslant p\leqslant +\infty )\mapsto u_{*}\in L^p({\Omega }_{*})\ . \)

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Relative Rearrangement

  • 章节

  • 发表日期：

    2025年

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  • Jean Michel Rakotoson

摘要

In this chapter, we will focus on the directional derivative of the rearrangement, i.e. the map \(\displaystyle u\in L^p({\Omega }),\ (1\leqslant p\leqslant +\infty )\mapsto u_{*}\in L^p({\Omega }_{*})\ . \)