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Zeitschrift für Analysis und ihre Anwendungen

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Volume 19, Issue 4, 2000, pp. 1087–1093
DOI: 10.4171/ZAA/1000

Published online: 2000-12-31

Coerciveness Property for a Class of Non-Smooth Functionals

Dumitru Motreanu[1] and Viorica V. Motreanu[2]

(1) Université de Perpignan, France
(2) Universität Zürich, Switzerland

The paper establishes a general coerciveness property for a class of non-smooth func-tionals satisfying an appropriate Palais-Smale condition. This result is obtained by applying an abstract principle supplying qualitative information concerning the asymptotic behaviour of a non-smooth functional. Comparison with other results in this field is provided.

Keywords: Coerciveness, Palais-Smale condition, variational principle

Motreanu Dumitru, Motreanu Viorica: Coerciveness Property for a Class of Non-Smooth Functionals. Z. Anal. Anwend. 19 (2000), 1087-1093. doi: 10.4171/ZAA/1000