Nonlocal $p$ -Laplace equations depending on the $L p$ -norm of the gradient

Michel Chipot
University of Zurich, Switzerland
Tuesday 20 January 2015, 2-3pm, Carslaw Room 829 (AGR)

Abstract

We present some results on the asymptotic behaviour of problems of the form

u_{t} - \nabla \cdot ((a \int_{Ω} | u (t, x) |^{p} d x) | \nabla u |^{p - 2} \nabla u) = f

in $(0, \infty) \times Ω$ together with boundary and initial conditions (joint work with T. Savitska).