caa a22 4500 445843691 CHVBK 20180317145352.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00526-011-0396-9 doi (NATIONALLICENCE)springer-10.1007/s00526-011-0396-9 Radially symmetric minimizers for a p -Ginzburg Landau type energy in $${\mathbb R^2}$$ [Elektronische Daten] [Yaniv Almog, Leonid Berlyand, Dmitry Golovaty, Itai Shafrir] 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. Springer-Verlag, 2011 Ginzburg-Landau energy nationallicence p-Laplacian nationallicence Radial symmetry nationallicence Stability nationallicence Almog Yaniv Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA aut Berlyand Leonid Department of Mathematics, Pennsylvania State University, 16802, University Park, PA, USA aut Golovaty Dmitry Department of Theoretical and Applied Mathematics, The University of Akron, 44325, Akron, OH, USA aut Shafrir Itai Department of Mathematics, Technion—Israel Institute of Technology, 32000, Haifa, Israel aut Calculus of Variations and Partial Differential Equations Springer-Verlag 42/3-4(2011-11-01), 517-546 0944-2669 42:3-4<517 2011 42 526 https://doi.org/10.1007/s00526-011-0396-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-011-0396-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Almog Yaniv Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA aut NATIONALLICENCE 700 1- Berlyand Leonid Department of Mathematics, Pennsylvania State University, 16802, University Park, PA, USA aut NATIONALLICENCE 700 1- Golovaty Dmitry Department of Theoretical and Applied Mathematics, The University of Akron, 44325, Akron, OH, USA aut NATIONALLICENCE 700 1- Shafrir Itai Department of Mathematics, Technion—Israel Institute of Technology, 32000, Haifa, Israel aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 42/3-4(2011-11-01), 517-546 0944-2669 42:3-4<517 2011 42 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer