Geodesic
Speculating About Mountains
Serdica Mathematical Journal, Tome 22 (1996) no. 3, pp. 341-358

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

The definition of the weak slope of continuous functions introduced by Degiovanni and Marzocchi (cf. [8]) and its interrelation with the notion “steepness” of locally Lipschitz functions are discussed. A deformation lemma and a mountain pass theorem for usco mappings are proved. The relation between these results and the respective ones for lower semicontinuous functions (cf. [7]) is considered.
Keywords: Upper Semicontinuous Multivalued Mappings with Compact Images, Deformation Lemma, Mountain Pass Theorem 
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Ribarska, N.; Tsachev, Ts.; Krastanov, M. Speculating About Mountains. Serdica Mathematical Journal, Tome 22 (1996) no. 3, pp. 341-358. http://geodesic.mathdoc.fr/item/SMJ2_1996_22_3_a4/