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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
