activity
20122026
most citedUniform resolvent convergence for strip with fast oscillating boundary

58 citations · 83 across the 9 of their papers we have counts for

collaborators

9 papers

math.NA2026

Adjoint-Based Gradient Evaluation for Metasurface Inverse Design via Affine Geometric Transformations

Vincenzo Mottola, Luisa Faella, Carlo Forestiere +1

The sharp increasing in fabrication capabilities of nanomaterials, and complex structures such as meta-surfaces and metalens, has opened to the possibility of employing them for ac…

math.AP2024★ 1 cited

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…

math.AP2023

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…

math.AP2023★ 4 cited

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…

math.AP2023★ 2 cited

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…

math.AP2023★ 4 cited

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.…

math.AP2020★ 14 cited

Monotonicity Principle in Tomography of Nonlinear Conducting Materials

Antonio Corbo Esposito, Luisa Faella, Gianpaolo Piscitelli +2

We treat an inverse electrical conductivity problem which deals with the reconstruction of nonlinear electrical conductivity starting from boundary measurements in steady currents…

math.AP2019

A homogenization bending shell theory for multiscale materials from nonlinear elasticity

Tiziana Durante, Luisa Faella, Pedro Hernández-Llanos +1

We derive homogenized bending shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains three small parameters: the two hom…

math.AP2012★ 58 cited

Uniform resolvent convergence for strip with fast oscillating boundary

Denis Borisov, Giuseppe Cardone, Luisa Faella +1

In a planar infinite strip with a fast oscillating boundary we consider an elliptic operator assuming that both the period and the amplitude of the oscillations are small. On the o…