Poincaré-Type Inequalities for Green’s Operator on Harmonic Forms

Shusen Ding () and Yuming Xing ()
Additional contact information
Shusen Ding: Seattle University, Department of Mathematics
Yuming Xing: Harbin Institute of Technology, Department of Mathematics

A chapter in Optimization in Science and Engineering, 2014, pp 141-155 from Springer

Abstract: Abstract In this paper, we prove the local Poincaré-type inequalities with singular factors for Green’s operator applied to harmonic forms and extend the local results into the global cases in John domains. We also establish the local Poincaré-type inequalities with Orlicz norms for Green’s operator on harmonic forms and global inequalities in L φ ( m ) $$L^{\varphi }(m)$$ -averaging or averaging domains.

Keywords: Harmonic Forms; John Domain; Orlicz Norm; Singular Factor; Global Case (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0808-0_7

Ordering information: This item can be ordered from
http://www.springer.com/9781493908080

DOI: 10.1007/978-1-4939-0808-0_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().