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 ...

Ekeland’s variational principle serves as a fundamental tool in modern optimisation theory, offering a framework to identify approximate solutions under minimal assumptions. Its versatility has ...

Available to watch now, IUVSTA, in partnership with Agilent Technologies explores how magnetohydrodynamics can be formulated through a variational principle as a field theory In this webinar, ...

In this work, we give a graphical version of the Ekeland variational principle which enables us to discover a new version of the Caristi fixed point theorem in weighted digraphs not necessarily ...

Complementary variational principles for a general class of diffusion problems are presented. The theory is illustrated by the electrostatic field and it is shown that Dirichlet's and Thomson's ...