3 problems

Let $k$ be an integer indexing the far-field behavior in the asymptotic expansion for the orientational angle $\theta$. An OR-type equilibrium family conjecture. The dependence of…

Consider equilibria of the regularized Ericksen model on $[0,1]$, and let $k$ be the parameter appearing in the condition below. An internal zero is a zero in the interior of the i…

Let two of four bodies have mass $m$ and the other two have mass $M$, with the reduced masses arranged symmetrically and with $\mu=m/M\leq 1$. Identify the equilibrium solutions co…