p-Laplacian
= p-Laplacian
{c}
{title2=$\Delta_pu=\operatorname{div}(|Du|^{p-2}Du)$}
{wiki}
The p-Laplacian is the nonlinear divergence-form operator
$$
\Delta_pu=\operatorname{div}(|Du|^{p-2}Du).
$$
It is the <Euler-Lagrange equation>[Euler-Lagrange operator] of the <p-energy>. For $p>2$ it is <degenerate ellipticity>[degenerately elliptic] where $Du=0$.
= p-Laplacian equation
{c}
{synonym}