Radially symmetric minimizers for a p-Ginzburg Landau type energy in \R²

2010/11/10 by Almog, Yaniv, Berlyand, Leonid, Golovaty, Dmitry +1
#35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1011.2412

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 p in the interval (2,4].

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