An Example of a Functional which is Weakly Lower Semicontinuous on for every but not on

  • Fernando Farroni

    Università Telematica Pegaso, Napoli, Italy
  • Raffaella Giova

    Università degli Studi di Napoli Parthenope, Italy
  • François Murat

    Université Pierre et Marie Curie, Paris, France

Abstract

In this note we give an example of a functional which is defined and coercive on , which is sequentially weakly lower semicontinuous on for every , but which is not sequentially lower semicontinuous on . This functional is non local.

Cite this article

Fernando Farroni, Raffaella Giova, François Murat, An Example of a Functional which is Weakly Lower Semicontinuous on for every but not on . Z. Anal. Anwend. 30 (2011), no. 1, pp. 59–69

DOI 10.4171/ZAA/1423