A decomposition by non-negative functions in the Sobolev Space Wk,1

Augusto C. Ponce, Daniel Spector

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

We show how a strong capacitary inequality can be used to give a decomposition of any function in the Sobolev space Wk,1(ℝd) as the difference of two non-negative functions in the same space with control of their norms.

原文英語
頁(從 - 到)151-169
頁數19
期刊Indiana University Mathematics Journal
69
發行號1
DOIs
出版狀態已發佈 - 2020
對外發佈

ASJC Scopus subject areas

  • 數學(全部)

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