2 problems

0 votes0 replies0 views
Optimality of the Lipschitz half-regularity for the \bar\partial equation on convex domains
Optimality conjecture. The Lipschitz $\widetilde{\frac{1}{2}}$ -regularity corresponding to the case $p=\infty$ in Theorem 1.1 is optimal.
Conjectureopencomplex-analysis lipschitz-regularity partial-differential-equationsarXiv posted 2 days ago
0 votes0 replies0 views
Jost–Lin conjecture on Lipschitz regularity of harmonic maps into CAT(0) spaces
Let $X$ be a finite-dimensional Alexandrov space with curvature bounded from below, let $Y$ be a $CAT(0)$ space, and let $u:X\to Y$ be harmonic. Jost–Lin conjecture. The map $u$ sh…
Conjecturesolvedcat-0-spaces harmonic-maps lipschitz-regularityarXiv posted 2 days ago

Optimality of the Lipschitz half-regularity for the \bar\partial equation on convex domains