Geometric category and Lusternik-Schnirelmann category

1987 ◽  
pp. 183-192
Author(s):  
Luis Montejano
Keyword(s):  
Lusternik Schnirelmann

scholarly journals Positive solutions to a fourth-order elliptic problem by the Lusternik–Schnirelmann category

2014 ◽  
Vol 420 (1) ◽  
pp. 532-550 ◽  
Author(s):  
Jéssyca Lange Ferreira Melo ◽  
Ederson Moreira dos Santos
Keyword(s):  
Positive Solutions ◽  
Fourth Order ◽  
Elliptic Problem ◽  
Order Elliptic Problem ◽  
Lusternik Schnirelmann

scholarly journals A pathological example in nonlinear spectral theory

2017 ◽  
Vol 8 (1) ◽  
pp. 707-714 ◽  
Author(s):  
Lorenzo Brasco ◽  
Giovanni Franzina
Keyword(s):  
Eigenvalue Problem ◽  
Spectral Theory ◽  
First Eigenvalue ◽  
Open Set ◽  
Lusternik Schnirelmann ◽  
Nonlinear Spectral Theory

Abstract We construct an open set {\Omega\subset\mathbb{R}^{N}} on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete. The same example shows that the usual Lusternik–Schnirelmann minimax construction does not exhaust the whole spectrum of this eigenvalue problem.

TANGENTIAL LUSTERNIK–SCHNIRELMANN CATEGORY OF FOLIATIONS

2002 ◽  
Vol 65 (03) ◽  
pp. 745-756 ◽  
Author(s):  
HELLEN COLMAN ◽  
ENRIQUE MACIAS-VIRGÓS
Keyword(s):  
Lusternik Schnirelmann

scholarly journals Transverse Lusternik–Schnirelmann category of Riemannian foliations

2004 ◽  
Vol 141 (1-3) ◽  
pp. 187-196 ◽  
Author(s):  
Hellen Colman
Keyword(s):  
Riemannian Foliations ◽  
Lusternik Schnirelmann

LUSTERNIK–SCHNIRELMANN CATEGORY BASED ON THE DISCRETE CONLEY INDEX THEORY

2018 ◽  
Vol 61 (03) ◽  
pp. 693-704
Author(s):  
KATSUYA YOKOI
Keyword(s):  
Index Theory ◽  
Conley Index ◽  
Invariant Sets ◽  
Conley Index Theory ◽  
Lusternik Schnirelmann

AbstractWe study Lusternik–Schnirelmann type categories for isolated invariant sets by the use of the discrete Conley index.

scholarly journals Lusternik-Schnirelmann category and products of local spaces

2009 ◽  
Vol 11 (2) ◽  
pp. 275-307
Author(s):  
Manfred Stelzer
Keyword(s):  
Lusternik Schnirelmann

scholarly journals Catégorie de Lusternik-Schnirelmann et genre des $H\textunderscore 0$-espaces

2002 ◽  
Vol 131 (2) ◽  
pp. 637-645 ◽  
Author(s):  
M. Cristina Costoya-Ramos
Keyword(s):  
Lusternik Schnirelmann

scholarly journals The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category

1998 ◽  
Vol 45 (1) ◽  
pp. 25-39
Author(s):  
J. Bryden ◽  
P. Zvengrowski
Keyword(s):  
Seifert Manifolds ◽  
Lusternik Schnirelmann

Detecting cohomology classes for the proper LS category. The case of semistable 3-manifolds

2011 ◽  
Vol 152 (2) ◽  
pp. 223-249 ◽  
Author(s):  
MANUEL CÁRDENAS ◽  
FRANCISCO F. LASHERAS ◽  
ANTONIO QUINTERO
Keyword(s):  
Sufficient Conditions ◽  
Proper Homotopy ◽  
Lusternik Schnirelmann

AbstractWe give sufficient conditions for the existence of detecting elements for the Lusternik–Schnirelmann category in proper homotopy. As an application we determine the proper LS category of some semistable one-ended open 3-manifolds.

scholarly journals The Lusternik-Schnirelmann category of a Lie groupoid

2010 ◽  
Vol 362 (10) ◽  
pp. 5529-5529 ◽  
Author(s):  
Hellen Colman
Keyword(s):  
Lie Groupoid ◽  
Lusternik Schnirelmann
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