p-energy
= p-energy
{c}
{title2=$E_p[u]=\frac1p\int_\Omega|Du|^p$}
The p-energy of a Sobolev function is
$$
E_p[u]=\frac1p\int_\Omega|Du|^p\,dx.
$$
Its stationary points under fixed boundary data are weak solutions of the <p-Laplacian equation>.
= p-energy
{c}
{title2=$E_p[u]=\frac1p\int_\Omega|Du|^p$}
The p-energy of a Sobolev function is
$$
E_p[u]=\frac1p\int_\Omega|Du|^p\,dx.
$$
Its stationary points under fixed boundary data are weak solutions of the <p-Laplacian equation>.