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.
|Original language||English (US)|
|Number of pages||30|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - Nov 1 2011|
All Science Journal Classification (ASJC) codes
- Applied Mathematics