Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/611

 Title: Speculating About Mountains Authors: Ribarska, N.Tsachev, Ts.Krastanov, M. Keywords: Upper Semicontinuous Multivalued Mappings with Compact ImagesDeformation LemmaMountain Pass Theorem Issue Date: 1996 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 22, No 3, (1996), 341p-358p Abstract: 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. Description: ∗Partially supported by Grant MM 409/94 of the Mininstry of Education, Science and Technology, Bulgaria. ∗∗Partially supported by Grants MM 521/95, MM 442/94 of the Mininstry of Education, Science and Technology, Bulgaria. URI: http://hdl.handle.net/10525/611 ISSN: 1310-6600 Appears in Collections: Volume 22 Number 3

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