2 papers
math.AP2026
Partial regularity and higher integrability for A-quasiconvex variational problems
Zhuolin Li, Bogdan RaiÅ£Ä
We prove that minimizers of variational problems on open sets $$ \mbox{minimize}\quad \mathcal E(v)=\int_Ωf(v(x))\mathrm{d} x\quad\text{for } \mathscr{A}…
math.FA2026
Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence
Panu Lahti, Zhuolin Li
We study a class of non-local functionals that was introduced by Brezis--Seeger--Van Schaftingen--Yung, and can be used to characterize the total variation of functions. We establi…