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Erschienen in:
New Applications of γ-Quasiconvexity Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

Nonlinear Duality in Banach Spaces and Applications to Finance and Elasticity

verfasst von : G. Colajanni, Patrizia Daniele, Sofia Giuffrè, Antonino Maugeri

Erschienen in: Applications of Nonlinear Analysis

Verlag: Springer International Publishing

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Abstract

In this chapter we first present some theoretic concepts related to the strong duality in the infinite-dimensional setting. Then, we apply such results to the general financial equilibrium economy, studying also the dual formulation of the problem, analyzing both the sector’s and the system’s viewpoints and deriving the contagion phenomenon. Further, we provide an evolutionary Markowitz-type measure of the risk with a memory term. Finally, we apply Assumption S to the elastic-plastic torsion problem for linear operators and investigate the existence of Lagrange multipliers to the elastic-plastic torsion problem for nonlinear monotone operators, providing an example of the so-called Von Mises functions and searching for radial solutions.

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Vorheriges Kapitel Stability Analysis of the Inverse Problem of Parameter Identification in Mixed Variational Problems
Nächstes Kapitel Selective Priorities in Processing of Big Data
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Metadaten
Titel
Nonlinear Duality in Banach Spaces and Applications to Finance and Elasticity
verfasst von
G. Colajanni
Patrizia Daniele
Sofia Giuffrè
Antonino Maugeri
Copyright-Jahr
2018
Buch
Applications of Nonlinear Analysis

Print ISBN: 978-3-319-89814-8

Electronic ISBN: 978-3-319-89815-5

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-89815-5_5