Correction to: Revista Matemática Complutense https://doi.org/10.1007/s13163-023-00465-2

The equation appearing in the statement of Theorem 4.1 is

$$\begin{aligned} \displaystyle \frac{d^2}{dt^2}\sigma (t)= & {} -2\int _{B_r(t)} |\nabla H\left( |\nabla u^t| \langle w,\nu \rangle \right) |^2dx-\dfrac{1}{r} \int _{\partial B_r(t)}|\nabla u^t|^2d \mathcal H^{n-1}\\{} & {} \quad -\frac{3n-4}{r}\int _{\partial B_r(t)}|\nabla u^t|^2 \left( \langle w, \nu \rangle \right) ^2 \, d \mathcal H^{n-1}, \end{aligned}$$

It has to be replaced by

$$\begin{aligned} {\begin{matrix} \displaystyle \frac{d^2}{dt^2}\sigma (t)&{}-\frac{2(n-1)}{r}\displaystyle \frac{d}{dt}\sigma (t)=-2\int _{B_r(t)} |\nabla H\left( |\nabla u^t| \langle w,\nu \rangle \right) |^2dx\\ &{}-\dfrac{1}{r} \int _{\partial B_r(t)}|\nabla u^t|^2d \mathcal H^{n-1}-\frac{n-2}{r}\int _{\partial B_r(t)}|\nabla u^t|^2 \left( \langle w, \nu \rangle \right) ^2 \, d \mathcal H^{n-1}, \end{matrix}} \end{aligned}$$