2 problems

0 votes0 replies0 views
Fukushima et al.'s bounded-gradient conjecture for membrane conductivity problems
Let two equal disks in $\mathbb{R}^2$ be separated by a distance parameter $\varepsilon$ , and consider the Robin-type conductivity problem with perfect conductors and LC-type imper…
Conjectureopencomposites conductivity-problems elliptic-equationsarXiv posted 2 days ago
0 votes0 replies0 views
FJKL's stress-shielding conjecture for low-conductivity interfaces
Let the conductivity problem have inclusions of arbitrary shape in any spatial dimension, with interface parameter $gamma$ bounded away from zero. FJKL's stress-shielding conjectur…
Conjecturesolvedconductivity-problems elliptic-pdes gradient-estimatesarXiv posted 2 days ago

Fukushima et al.'s bounded-gradient conjecture for membrane conductivity problems