Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/641

 Title: Deformation Lemma, Ljusternik-Schnirellmann Theory and Mountain Pass Theorem on C1-Finsler Manifolds Authors: Ribarska, NadezhdaTsachev, TsvetomirKrastanov, Mikhail Keywords: Deformation LemmaLjusternik-Schnirelmann TheoryMountain Pass TheoremC1–Finsler ManifoldLocally Lipschitz Functions Issue Date: 1995 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 21, No 3, (1995), 239p-266p Abstract: Let M be a complete C1−Finsler manifold without boundary and f : M → R be a locally Lipschitz function. The classical proof of the well known deformation lemma can not be extended in this case because integral lines may not exist. In this paper we establish existence of deformations generalizing the classical result. This allows us to prove some known results in a more general setting (minimax theorem, a theorem of Ljusternik-Schnirelmann type, mountain pass theorem). This approach enables us to drop the compactness assumptions characteristic for recent papers in the field using the Ekeland’s variational principle as the main tool. Description: ∗Partially supported by Grant MM409/94 Of the Ministy of Science and Education, Bulgaria. ∗∗Partially supported by Grant MM442/94 of the Ministy of Science and Education, Bulgaria. URI: http://hdl.handle.net/10525/641 ISSN: 1310-6600 Appears in Collections: Volume 21 Number 3

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