Γ-convergence

In the calculus of variations, Γ-convergence (Gamma-convergence) is a notion of convergence for functionals. It was introduced by Ennio de Giorgi.

Let ${\displaystyle X}$ be a topological space and ${\displaystyle F_{n}:X\to [0,+\infty )}$ a sequence of functionals on ${\displaystyle X}$. Then ${\displaystyle F_{n}}$ are said to ${\displaystyle \Gamma }$-converge to the ${\displaystyle \Gamma }$-limit ${\displaystyle F:X\to [0,+\infty )}$ if the following two conditions hold:

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