MENU

You are here

Generalizing the Poincaré–Miranda theorem: the avoiding cones condition

TitleGeneralizing the Poincaré–Miranda theorem: the avoiding cones condition
Publication TypeJournal Article
Year of Publication2016
AuthorsFonda, A, Gidoni, P
JournalAnnali di Matematica Pura ed Applicata (1923 -)
Volume195
Pagination1347–1371
Date PublishedAug
ISSN1618-1891
Abstract

After proposing a variant of the Poincaré–Bohl theorem, we extend the Poincaré–Miranda theorem in several directions, by introducing an avoiding cones condition. We are thus able to deal with functions defined on various types of convex domains, and situations where the topological degree may be different from \$\$\backslashpm \$\$±1. An illustrative application is provided for the study of functionals having degenerate multi-saddle points.

URLhttps://doi.org/10.1007/s10231-015-0519-6
DOI10.1007/s10231-015-0519-6

Sign in