3 papers
math.AP2025
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.AP2025
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.AP2024
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…