We derive a priori uniform bounds for solutions of an elliptic system of Liouville-type equations, first analyzed by J. Spruck and Y. Yang (Comm. Math. Phys. 144 (1992) 1), yielding periodic multivortices in the classical electroweak theory of Glashow-Salam-Weinberg. Our proof is based on a concentration-quantization result, in the same spirit of Brezis-Merle (Comm. Partial Differential Equations 16 (8,9) (1991) 1223) and Li-Shafrir (Indiana Univ. Math. J. 43 (4) . (1994) 1255), for mean field equations on Riemannian compact 2-manifolds.

Bartolucci, D. (2003). A compactness result for periodic multivortices in the Electroweak Theory. NONLINEAR ANALYSIS, 53(2), 277-297 [10.1016/S0362-546X(02)00310-3].

A compactness result for periodic multivortices in the Electroweak Theory

BARTOLUCCI, DANIELE
2003-01-01

Abstract

We derive a priori uniform bounds for solutions of an elliptic system of Liouville-type equations, first analyzed by J. Spruck and Y. Yang (Comm. Math. Phys. 144 (1992) 1), yielding periodic multivortices in the classical electroweak theory of Glashow-Salam-Weinberg. Our proof is based on a concentration-quantization result, in the same spirit of Brezis-Merle (Comm. Partial Differential Equations 16 (8,9) (1991) 1223) and Li-Shafrir (Indiana Univ. Math. J. 43 (4) . (1994) 1255), for mean field equations on Riemannian compact 2-manifolds.
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Rilevanza internazionale
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Sì, ma tipo non specificato
Settore MAT/05 - Analisi Matematica
English
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Bartolucci, D. (2003). A compactness result for periodic multivortices in the Electroweak Theory. NONLINEAR ANALYSIS, 53(2), 277-297 [10.1016/S0362-546X(02)00310-3].
Bartolucci, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/12462
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