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ENERGY CONCENTRATION PROPERTIES OF A p-GINZBURG–LANDAU MODEL
Published online by Cambridge University Press: 25 August 2021
Abstract
This paper is concerned with the p-Ginzburg–Landau (p-GL) type model with
$p\neq 2$
. First, we obtain global energy estimates and energy concentration properties by the singularity analysis. Next, we give a decay rate of
$1-|u_\varepsilon |$
in the domain away from the singularities when
$\varepsilon \to 0$
, where
$u_\varepsilon $
is a minimizer of p-GL functional with
$p \in (1,2)$
. Finally, we obtain a Liouville theorem for the finite energy solutions of the p-GL equation on
$\mathbb {R}^2$
.
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- Copyright
- © (2021) The Authors. The publishing rights in this article are licenced to Foundation Nagoya Mathematical Journal under an exclusive license
References
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