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Radially symmetric minimizers for a p-Ginzburg Landau type energy in {\mathbb R^2} |
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| Authors: | Yaniv Almog Leonid Berlyand Dmitry Golovaty Itai Shafrir |
| Institution: | 1. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA 2. Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA 3. Department of Theoretical and Applied Mathematics, The University of Akron, Akron, OH, 44325, USA 4. Department of Mathematics, Technion??Israel Institute of Technology, 32000, Haifa, Israel |
| 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. |
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