Title: Intrinsic scaling for PDEs with an exponential nonlinearity

Authors: Eurica Henriques and Jose Miguel Urbano

Issue: Volume 55 (2006), Issue 5, 1701-1722

Abstract: 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.