4 citations · 5 across the 4 of their papers we have counts for
8 papers
Globally diffeomorphic --harmonic mappings
Giovanni Alessandrini, Vincenzo Nesi
Given a two--dimensional mapping whose components solve a divergence structure elliptic equation, we give necessary and sufficient conditions on the boundary so that is a g…
Locally invertible -harmonic mappings
Giovanni Alessandrini, Vincenzo Nesi
We extend a classical theorem by H. Lewy to planar -harmonic mappings, that is mappings whose components and solve a divergence structure elliptic equation ${\rm…
Quantitative estimates on Jacobians for hybrid inverse problems
Giovanni Alessandrini, Vincenzo Nesi
We consider -harmonic mappings, that is mappings whose components solve a divergence structure elliptic equation , for . We i…
Estimates for the dilatation of -harmonic mappings
Giovanni Alessandrini, Vincenzo Nesi
We consider planar -harmonic mappings, that is mappings whose components and solve a divergence structure elliptic equation , for $i=1…
Gradient integrability and rigidity results for two-phase conductivities in dimension two
Vincenzo Nesi, Mariapia Palombaro, Marcello Ponsiglione
This paper deals with higher gradient integrability for -harmonic functions with discontinuous coefficients , i.e. weak solutions of . We focus on two-p…
Elliptic systems and material interpenetration
Giovanni Alessandrini, Vincenzo Nesi
We classify the second order, linear, two by two systems for which the two fundamental theorems for planar harmonic mappings, the Rado'-Kneser-Choquet Theorem and the H. Lewy Theor…