5 papers · 1 filter
The inverse obstacle problem for nonlinear inclusions
Vincenzo Mottola, Antonio Corbo Esposito, Luisa Faella +3
The Monotonocity Principle (MP), stating a monotonic relationship between a material property and a proper corresponding boundary operator, is attracting great interest in the fiel…
Junction of ferroelectric thin cylinders
Luisa Faella, Pedro Hernández-Llanos, Ravi Prakash
In this paper, starting from a non-convex and nonlocal variational model for the electric polarization in a ferroelectric material, and using an asymptotic process based on di…
Piecewise nonlinear materials and Monotonicity Principle
Antonio Corbo Esposito, Luisa Faella, Vincenzo Mottola +3
This paper is focused on the Monotonicity Principle (MP) for nonlinear materials with piecewise growth exponent. This results are relevant because enables the use of a fast imaging…
The -Laplace "Signature" for Quasilinear Inverse Problems
A. Corbo Esposito, L. Faella, V. Mottola +3
This paper refers to an imaging problem in the presence of nonlinear materials. Specifically, the problem we address falls within the framework of Electrical Resistance Tomography…
The p-Laplace "Signature" for Quasilinear Inverse Problems with Large Boundary Data
A. Corbo Esposito, L. Faella, G. Piscitelli +2
This paper is inspired by an imaging problem encountered in the framework of Electrical Resistance Tomography involving two different materials, one or both of which are nonlinear.…