In mathematics, the infinity Laplace (or L ∞ {displaystyle L^{infty }} -Laplace) operator is a 2nd-order partial differential operator, commonly abbreviated Δ ∞ {displaystyle Delta _{infty }} . It is alternately defined by In mathematics, the infinity Laplace (or L ∞ {displaystyle L^{infty }} -Laplace) operator is a 2nd-order partial differential operator, commonly abbreviated Δ ∞ {displaystyle Delta _{infty }} . It is alternately defined by