Radial minimizers of a Ginzburg-Landau functional

Electronic Journal of Differential Equations

关键词: Ginzburg-Landau functional;    radial functional;    zeros of a minimizer.;   

DOI  :  

来源: DOAJ

【 摘 要 】

We consider the functional $$ E_varepsilon(u,G) =frac 1pint_G|abla u|^p +frac{1}{4varepsilon^p}int_G(1-|u|^2)^2 $$ with $p>2$ and $d>0$, on the class of functions $W={u(x)=f(r)e^{idheta} in W^{1,p}(B,C); f(1)=1,f(r)geq 0}$. The location of the zeroes of the minimizer and its convergence as $varepsilon$ approaches zero are established.

【 授权许可】

Unknown