Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term

Abstract

This paper considers the inverse boundary value problem for the equation $\nabla \cdot (\sigma \nabla u+a|\nabla u{|}^{p-2}\nabla u)=0$. We give a procedure for the recovery of the coefficients $\sigma$ and $a$ from the corresponding Dirichlet-to-Neumann map, under suitable regularity and ellipticity assumptions.

References in corpus (2)

• Reconstruction for the coefficients of a quasilinear elliptic partial differential equation
• Enclosure method for the p-Laplace equation

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