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math.AP2026
Inverse problems for quasi-linear elliptic systems modeling electrolysers
Giovanni S. Alberti, Wadim Gerner, Matteo Santacesaria
We investigate the electrochemical processes within an electrolyser cell, which are modelled by a coupled system of second-order quasi-linear elliptic PDEs. In this context, we stu…
math.AP2025
Non-optimal domains for the helicity maximisation problem
Wadim Gerner
In [J. Cantarella, D. DeTurck, H. Gluck and M. Teytel, J. Math. Phys. 41:5615 (2000)] the helicity isoperimetric problem which asks to find a smooth domain of fixed volume which ma…
math.AP2025
Quantitative Gaffney and Korn inequalities
Wadim Gerner
We prove a homogeneous, quantitative version of Ehrling's inequality for the function spaces , which reflects ge…