Coercivity properties for monotone functionals

Authors

  • V. V. Motreanu
  • M. Turinici

DOI:

https://doi.org/10.1285/i15900932v21n1p83

Keywords:

Quasi-order, Variational principle, Convex cone, Monotone functional, Directional derivative, Coercivity, Palais-Smale condition

Abstract

For a monotone functional defined only on a closed convex cone in a quasi-ordered Banach space it is shown that a version of Palais–Smale condition adapted to the quasi-order structure implies a conical coercivity property. The conical asymptotic behavior of monotone functionals is also studied.

Downloads

Published

01-01-2002

Issue

Volume 21, Issue 1 (2002)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode