Speculating About Mountains

Ribarska, N., Tsachev, Ts., and Krastanov, M.. "Speculating About Mountains." Serdica Mathematical Journal 22.3 (1996): 341-358. <http://eudml.org/doc/11641>.

@article{Ribarska1996,
abstract = {∗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.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.},
author = {Ribarska, N., Tsachev, Ts., Krastanov, M.},
journal = {Serdica Mathematical Journal},
keywords = {Upper Semicontinuous Multivalued Mappings with Compact Images; Deformation Lemma; Mountain Pass Theorem; upper semicontinuous compact-valued mappings; deformation lemma; mountain-pass theorem},
language = {eng},
number = {3},
pages = {341-358},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Speculating About Mountains},
url = {http://eudml.org/doc/11641},
volume = {22},
year = {1996},
}

TY - JOUR
AU - Ribarska, N.
AU - Tsachev, Ts.
AU - Krastanov, M.
TI - Speculating About Mountains
JO - Serdica Mathematical Journal
PY - 1996
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 22
IS - 3
SP - 341
EP - 358
AB - ∗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.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.
LA - eng
KW - Upper Semicontinuous Multivalued Mappings with Compact Images; Deformation Lemma; Mountain Pass Theorem; upper semicontinuous compact-valued mappings; deformation lemma; mountain-pass theorem
UR - http://eudml.org/doc/11641
ER -