Intrinsic scaling for PDEs with an exponential nonlinearity Eurica HenriquesJosé Miguel Urbano 35B6535D1035K65porous medium equationdegenerate PDE'sregularity theoryintrinsic scaling We consider strongly degenerate equations in divergence form of the type \[ \partial_{t}u - \nabla \cdot (|u|^{\gamma(x,t)}\nabla u) = f, \] where the exponential nonlinearity satisfies the condition $0 < \gamma^{-} \leq \gamma(x,t) \leq \gamma^{+}$. We show, by means of intrinsic scaling, that weak solutions are locally continuous. Indiana University Mathematics Journal 2006 text pdf 10.1512/iumj.2006.55.2715 10.1512/iumj.2006.55.2715 en Indiana Univ. Math. J. 55 (2006) 1701 - 1722 state-of-the-art mathematics http://iumj.org/access/