2 problems

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Gos's surface-tension Hessian conjecture for Funaki–Spohn states
Let $U$ be a uniformly elliptic potential on the lattice-gradient field, and let the corresponding Funaki–Spohn state have slope-dependent surface tension. The surface tension is s…
Conjectureopengradient-fields statistical-mechanics surface-tensionarXiv posted 2 days ago
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The conjecture on local gradient control for continuously graded composites
Let $S\subset\Omega$ be an open set with closure contained in $\Omega$ . Consider continuously graded composites with inclusions having $C^{1,\alpha}$ boundaries, and let…
Conjectureopencomposite-materials gradient-fields homogenizationarXiv posted 2 days ago

Gos's surface-tension Hessian conjecture for Funaki–Spohn states