Radially symmetric minimizers for a p-Ginzburg Landau type energy in $${\mathbb R^2}$$
Radially symmetric minimizers for a p-Ginzburg Landau type energy in $${\mathbb R^2}$$
复制标题
DOI：
10.1007/s00526-011-0396-9
复制
发表时间：
2011-01
影响因子：
2.1
通讯作者：
Y. Almog;L. Berlyand;D. Golovaty;I. Shafrir
中科院分区：
文献类型：
--
作者：
Y. Almog;L. Berlyand;D. Golovaty;I. Shafrir
We consider the minimization of ap-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 asp→ ∞. Finally, we prove that the radially symmetric solution is locally stable for 2 <p≤ 4.
