Variational problems in $L^{\infty }$ involving semilinear second order differential operators

Nikos Katzourakis, Roger Moser

For an elliptic, semilinear differential operator of the form $S(u)=A:D^{2}u+b(x,u,Du)$, consider the functional $E_{\infty }(u)={\mathrm{esssup}}_{\Omega }|S(u)|$. We st…