Transversality Theory with Applications to Differential Equations

Dumitru Motreanu () and Viorica Venera Motreanu ()
Additional contact information
Dumitru Motreanu: Université de Perpignan, Département de Mathématiques
Viorica Venera Motreanu: Lycée Polyvalent des Métiers du Bâtiment et de l’Énergie “Emmanuel Héré”

A chapter in Essays in Mathematics and its Applications, 2016, pp 133-157 from Springer

Abstract: Abstract The generic existence of Morse functions in a prescribed family of smooth functionals is investigated. The approach is based on arguments involving the transversality theory. The abstract result is applied to semilinear elliptic boundary value problems. One obtains qualitative information concerning the set of solutions.

Keywords: Weak Solution; Dirichlet Problem; Fredholm Operator; Morse Function; Dense Open Subset (search for similar items in EconPapers)
Date: 2016
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:978-3-319-31338-2_7

Ordering information: This item can be ordered from
http://www.springer.com/9783319313382

DOI: 10.1007/978-3-319-31338-2_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 ().