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.

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• Imaging of nonlinear materials via the Monotonicity Principle
• The Calderón inverse problem for isotropic quasilinear conductivities
• The p-Laplace "Signature" for Quasilinear Inverse Problems with Large Boundary Data
• Piecewise nonlinear materials and Monotonicity Principle
• The $p_0$-Laplace "Signature" for Quasilinear Inverse Problems
• The inverse obstacle problem for nonlinear inclusions
• Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation