The concept of an **energy functional** arises in various fields, particularly in physics, mathematics, and calculus of variations. An energy functional is generally a mathematical expression that associates a scalar value (energy) with a set of functions or configurations, often representing physical states or solutions to a problem.
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An energy functional assigns an integral energy to a function. Minimization of a suitable energy is the basis of the Dirichlet principle. For the modified Helmholtz equation, a natural example is