Anzeige
Erschienen in:
2019 | OriginalPaper | Buchkapitel
2. Compact Operators and Operators of Monotone Type
verfasst von : Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
Erschienen in: Nonlinear Analysis - Theory and Methods
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
Compact maps constitute a class of maps to which we can extend many of the results which are valid for maps between finite-dimensional spaces. Compactness plays a central role in the infinite-dimensional extension of degree theory (Leray–Schauder degree, see Chap. 3) and in fixed point theory (see Chap. 4). The needs of problems in the calculus of variations and in nonlinear functional equations led to the class of operators of monotone type, which provides a broader framework than the class of compact maps.