Abstract
In this chapter we prove the main uniqueness result which is stated in Chapter 1. The proof of this result combines the construction of the solutions of the Ginzburg-Landau equation from Chapters 3 through 7 with the Pohozaev formula for the Ginzburg-Landau equation as established in Chapter 9. Indeed, using the machinery developed in Chapter 10, we are going to compare any sequence of solutions of the Ginzburg-Landau equation to the solutions constructed in Chapter 7. One of the major new difficulties is that we do not assume that the two solutions have the same zero set.
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© 2000 Springer Science+Business Media New York
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Pacard, F., Rivière, T. (2000). Solving Uniqueness Questions. In: Linear and Nonlinear Aspects of Vortices. Progress in Nonlinear Differential Equations and Their Applications, vol 39. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1386-4_11
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DOI: https://doi.org/10.1007/978-1-4612-1386-4_11
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7125-3
Online ISBN: 978-1-4612-1386-4
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