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Unique Solvability of a System of Nonlinear Elliptic PDEs Arising in Solid State Physics

✍ Scribed by Blanc, X.


Book ID
118198559
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
198 KB
Volume
38
Category
Article
ISSN
0036-1410

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In this paper we study a system of nonlinear elliptic equations, known as the ``vortex equations'' in 2 dimensions, arising from the field-theoretical descriptions of several models in physics. When the underlying space is a closed surface, we prove the existence and uniqueness of a solution under a