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math.AP2025
Non-polyconvex -integrands with lower semicontinuous energies
Daniele De Gennaro, Antonio De Rosa
For any fixed , we construct a positive measure on the space of positively oriented -vectors in , whose barycenter is a simple -vector, yet whic…
math.AP2025
Rigidity of critical points of hydrophobic capillary functionals
Antonio De Rosa, Robin Neumayer, Reinaldo Resende
We prove the rigidity, among sets of finite perimeter, of volume-preserving critical points of the capillary energy in the half space, in the case where the prescribed interior con…