We present a random version of the Borwein-Preiss smooth variational principle, stating that under suitable conditions, the set of minimizers of a perturbed function depending on a random variable, ...
Variational principles provide a powerful and unifying framework to derive the governing equations of systems by optimising an action functional. Traditionally applied in classical mechanics via ...
A new technique to solve elliptic linear PDEs, called ultra weak variational formulation (UWVF) in this paper, is introduced in [B. Després, C. R. Acad. Sci. Paris, 318 (1994), pp. 939-944]. This ...