3 problems

Matching

Low-h nonattainment conjecture for Néel-wall energies at winding number d minus alpha over pi
Let $d\in\mathbb{N}\setminus\{1\}$ , and let $\mathcal{E}_h(w)$ denote the infimum of the energy among profiles with winding number $w$ . Low- $h$ nonattainment conjecture. There exis…
opencalculus-of-variations neel-walls nonlocal-energies
02
Existence conjecture for Néel-wall energies at winding number d minus alpha over pi near h equals 1
Let $d\in\mathbb{N}$ , and let $\mathcal{E}_h(w)$ denote the infimum of the energy among profiles with winding number $w$ . Existence conjecture. There exists $H\in(0,1)$ such that…
opencalculus-of-variations neel-walls nonlocal-energies
04
Nonattainment conjecture for Néel-wall energies at winding numbers d and d plus alpha over pi
Let $h\in[0,1)$ , let $d\in\mathbb{N}=\{1,2,\dots\}$ , and let $\mathcal{E}_h(w)$ denote the infimum of the energy among profiles with winding number $w$ . Nonattainment conjecture. N…
opencalculus-of-variations neel-walls nonlocal-energies
07

Low-h nonattainment conjecture for Néel-wall energies at winding number d minus alpha over pi