3 problems

Three-dimensional Gamma-limit conjecture for membranes, tubes, and micelles
Three-dimensional Gamma-limit conjecture. For $n=3$ and $\rho\to0$ , if $\zeta\in(\zeta_0,\zeta_1)$ , the Gamma-limit of $F'_\rho$ is a quadratic form in the principal curvatures for…
openFrom papersgamma-convergence ohta-kawasaki phase-separation
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6
Gravitational-field variational-shape conjecture for the Ising phase separation
Gravitational-field variational-shape conjecture. The preceding convergence in probability holds. The supplied context says that the solution of this variational problem is known i…
openFrom papersising-model phase-separation variational-problems
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7
Equal-size equal-distance minimizer conjecture for the generalized Ohta–Kawasaki model
Let $\omega\ll 1$ and $\gamma\gg 1$ , and let $\mathcal{A}_N^{\omega}$ be the class of periodic step functions considered in the generalized Ohta–Kawasaki model. Let $U_N^{\omega}$ …
openFrom paperscalculus-of-variations nonlocal-variational-models phase-separation
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6

Three-dimensional Gamma-limit conjecture for membranes, tubes, and micelles