Isoperimetric Variational Techniques and Applications.

The exploitation of nature's propensity offers us ample opportunities to achieve or deal with an optimal objective concerning constrained shape, volume, time, velocity, energy or gain. This vivifies the need to study Optimization Theory and related topics. In order to make the concepts clear, let us recall some keywords. Given a nonempty set X and a function f : X → R which is bounded below, computing the number