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Nonlinear Duality in Banach Spaces and Applications to Finance and Elasticity

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Book cover Applications of Nonlinear Analysis

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 134))

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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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Catania, Catania, Italy

    G. Colajanni, Patrizia Daniele & Antonino Maugeri

  2. D.I.I.E.S. “Mediterranea” University of Reggio Calabria, Reggio Calabria, Italy

    Sofia Giuffrè

Authors
  1. G. Colajanni
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  2. Patrizia Daniele
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  3. Sofia Giuffrè
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  4. Antonino Maugeri
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Corresponding author

Correspondence to Patrizia Daniele .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Colajanni, G., Daniele, P., Giuffrè, S., Maugeri, A. (2018). Nonlinear Duality in Banach Spaces and Applications to Finance and Elasticity. In: Rassias, T. (eds) Applications of Nonlinear Analysis . Springer Optimization and Its Applications, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-319-89815-5_5

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