TITLE

Radially symmetric minimizers for a p-Ginzburg Landau type energy in $${\mathbb R^2}$$

AUTHOR(S)
Almog, Yaniv; Berlyand, Leonid; Golovaty, Dmitry; Shafrir, Itai
PUB. DATE
November 2011
SOURCE
Calculus of Variations & Partial Differential Equations;Nov2011, Vol. 42 Issue 3/4, p517
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We consider the minimization of a p-Ginzburg-Landau energy functional over the class of radially symmetric functions of degree one. We prove the existence of a unique minimizer in this class, and show that its modulus is monotone increasing and concave. We also study the asymptotic limit of the minimizers as p → ∞. Finally, we prove that the radially symmetric solution is locally stable for 2 < p ≤ 4.
ACCESSION #
66393401

 

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