Ciarlet - The Finite Element Method for Elliptic Problems

Chapter 1 - Elliptic Boundary Value Problems
page 2 - One reads:

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Instead of a $$\vert \vert v\vert\vert^2 \leq a(v,v)$$ it should be $$\alpha \vert \vert v\vert\vert^2 \leq a(v,v)$$