On differentiability and surjectivity of α-lipschitz mappings

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1974 Italy English Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata, volume 101, pages 49-63 (issn: 0373-3114, eissn: 1618-1891,

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Authors: PEJSACHOWICZ, JACOBO; Vignoli A.;

doi: 10.1007/bf02417098

handle: 11583/2495609

On differentiability and surjectivity of α-lipschitz mappings

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Abstract

In the first part of this paper the well known result that the Frechet differential and the asymptotic derivative of a compact mapping is compact, is extended to α-Lipschitz mappings (see Theorem1.1, 1.2 and Corollaries).

Country

Italy

Related Organizations

Polytechnic University of Turin
Italy

Keywords

Equations involving nonlinear operators (general), Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, differentiability alpha-lipschitz

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