A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
The ancient Gamow liquid drop model of nuclear energies has had a renewed life as an interesting problem in the calculus of variations: Find a set Ω ⊂ R 3 with given volume A that minimizes the sum of its surface area and its Coulomb self energy. A ball minimizes the former and maximizes the latter, but the conjecture is that a ball is always a minimizer -when there is a minimizer. Even the existence of minimizers for this interesting geometric problem has not been shown in general. We provedoi:10.1137/15m1010658 fatcat:jofmlijnzbhc5c4q3pz6qxbxwy