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Constructing topologically distinct energy-critical curves in the path space of the Euclidean line |
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| Authors: | Jeanne N. Clelland Marek Kossowski |
| Affiliation: | a Department of Mathematics, 395 UCB, University of Colorado, Boulder, CO 80309-0395, USA b Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA c Department of Mathematics, University of Hawaii at Manoa, 2565 McCarthy Mall, Honolulu, HI 96822-2273, USA |
| Abstract: | We construct topologically distinct global, non-embedding solutions to the Euler-Lagrange equation for a natural energy functional on the space of maps  . |
| Keywords: | primary, 58J70, 35A30 secondary, 35L67, 35L65, 35L70, 35L90 |
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