INV

Abstract

We study an inverse problem for strongly nonlinear elliptic equations modelled after the p-Laplacian. It is proved that the boundary values of a conductivity coefficient are uniquely determined by a nonlinear Dirichlet-to-Neumann map. The proofs work with the nonlinear equation directly instead of being based on linearization, and involve complex geometrical optics type solutions based on p-harmonic exponentials and certain p-harmonic functions introduced by Wolff. This is joint work with Xiao Zhong (University of Jyväskylä).