By means of variational methods, in this paper, we establish sharp existence results for solutions of the master equations governing 'fractional multiple vortices.' In the doubly periodic situation, the conditions for existence are both necessary and sufficient and give the upper bounds for the vortex numbers in terms of the size of the periodic cell domain. In the planar situation, there is no restriction on the vortex numbers. In both situations, the solutions are uniquely determined by the prescribed locations and the local winding numbers of the vortices. (C) 2012 Elsevier Inc. All rights reserved.
Lin, C., Tarantello, G., Yang, Y. (2013). Solutions to the master equations governing fractional vortices. JOURNAL OF DIFFERENTIAL EQUATIONS, 254(3), 1437-1463 [10.1016/j.jde.2012.10.023].
Solutions to the master equations governing fractional vortices
TARANTELLO, GABRIELLA;
2013-01-01
Abstract
By means of variational methods, in this paper, we establish sharp existence results for solutions of the master equations governing 'fractional multiple vortices.' In the doubly periodic situation, the conditions for existence are both necessary and sufficient and give the upper bounds for the vortex numbers in terms of the size of the periodic cell domain. In the planar situation, there is no restriction on the vortex numbers. In both situations, the solutions are uniquely determined by the prescribed locations and the local winding numbers of the vortices. (C) 2012 Elsevier Inc. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
