Improved regularity for a Hessian-dependent functional
 
 
Description: 

We prove that minimizers of the \( L^d \)-norm of the Hessian in the unit ball of \( \mathbb{R}^d \) are locally of class \( C^{1,\alpha} \). Our findings extend previous results on Hessian-dependent functionals to the borderline case and resonate with the Holder regularity theory available for elliptic equations in double-divergence form.

Date:  2023-07-21
Start Time:   16:00
Speaker:  Vincenzo Bianca (CMUC, Univ. Coimbra)
Institution:  CMUC
Place:  Sala 5.4, DMUC, and remotely
Research Groups: -Analysis
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