Abstract
In this article we present some results concerning variational problems in infinite dimension, which arise in different areas of mechanics and physics. The particularity (and common property) of these problems is that they are coercive on a non reflexive function space of the type L1. As a consequence of this lack of coercivity, the solutions of these problems, when they exist, lie in generalized spaces. Part of the work presented here consists, for these problems, in the definition of an appropriate generalization of the considered problem, and the proof of existence of solution of the generalized problem.
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Temam, R. (1983). Dual Variational Principles in Mechanics and Physics. In: Fiacco, A.V., Kortanek, K.O. (eds) Semi-Infinite Programming and Applications. Lecture Notes in Economics and Mathematical Systems, vol 215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46477-5_20
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DOI: https://doi.org/10.1007/978-3-642-46477-5_20
Publisher Name: Springer, Berlin, Heidelberg
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