MMN-1207
On the zero of a radial minimizer of $p$-Ginzburg-Landau type
Yuze Cai; Yutian Lei; Bei Wang;Abstract
Zeros of minimizers of $p$-Ginzburg-Landau functional are helpful to understand the location of vortices of the superconductivity and the superfluid. When $p=2$ and the degree of the boundary data around the boundary
is $\pm 1$, there exists only one zero of the $p$-Ginzburg-Landau
minimizers in the bounded domain. When $p>2$, it is a more
complicated problem. This paper is concerned with the location of the zeros of a radial minimizer of a $p$-Ginzburg-Landau type functional. The authors use the method of moving planes and the idea of the proof of Pohozaev's identity to verify that the origin is the unique zero of the radial minimizer in the domain.
Vol. 16 (2015), No. 2, pp. 713-719
DOI: 10.18514/MMN.2015.1207