Uniqueness results for fully nonlinear degenerate elliptic equations with discontinuous coefficients
Uniqueness results for fully nonlinear degenerate elliptic equations with discontinuous coefficients
In this paper we prove the comparison principle for viscosity solutions of second order, degenerate elliptic pdes with a discontinuous, inhomogeneous term having discontinuities on Lipschitz surfaces. It is shown that appropriate sub and supersolutions $u,v$ of a Dirichlet type boundary value problem satisfy $u\leq v$ in $\Omega$. In particular, …