caa a22 4500 465819958 CHVBK 20180323112133.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01766973 doi (NATIONALLICENCE)springer-10.1007/BF01766973 Degiovanni Marco Facoltà di Ingegneria, Università, Via Valotti 9, I-25060, Brescia, Italy aut Homotopical properties of a class of nonsmooth functions [Elektronische Daten] [Marco Degiovanni] Summary: A class of extended real valued functionals, already considered for evolution problems, is studied. The set where the functional is finite is proved to be an absolute neighborhood extensor. Applications to critical point theory, involving Ljusternik-Schnirelman category and cohomological index, are shown. The stability under Γ-convergence of the homotopical type of the sublevels of the functional is also treated. Fondazione Annali di Matematica Pura ed Applicata, 1990 Annali di Matematica Pura ed Applicata Springer-Verlag 156/1(1990-12-01), 37-71 0373-3114 156:1<37 1990 156 10231 https://doi.org/10.1007/BF01766973 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01766973 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Degiovanni Marco Facoltà di Ingegneria, Università, Via Valotti 9, I-25060, Brescia, Italy aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata Springer-Verlag 156/1(1990-12-01), 37-71 0373-3114 156:1<37 1990 156 10231 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer