Noncoercive problems and asymptotic conditions

Article type: Research Article

Authors: Penot, Jean-Paul

Affiliations: Laboratoire de Mathématiques Appliquées, CNRS, UMR 5142, Faculté des Sciences, av. de l'Université, 64000 Pau, France

Abstract: We provide conditions ensuring the existence of a solution to a noncoercive minimization problem. These conditions are also necessary. They enlarge the applicability of previous results due to Baiocchi, Buttazzo, Gastaldi and Tomarelli and their extensions by Auslender. A particular attention is given to the case of quasiconvex objective functions.

Keywords: asymptotic cone, asymptotic function, coercivity, existence, minimization, recession

Journal: Asymptotic Analysis, vol. 49, no. 3-4, pp. 205-215, 2006