Electron. J. Diff. Eqns.,
Vol. 2006(2006), No. 71, pp. 117.
Energy quantization for Yamabe's problem in conformal dimension
Fethi Mahmoudi
Abstract:
Riviere [11] proved an energy quantization for
YangMills fields defined on
dimensional Riemannian manifolds,
when
is larger than the critical dimension 4. More precisely,
he proved that the defect measure of a weakly converging sequence
of YangMills fields is quantized, provided the
norm
of their curvature is uniformly bounded. In the present paper,
we prove a similar quantization phenomenon for the nonlinear
elliptic equation
in a subset
of
.
Submitted February 20, 2006. Published July 7, 2006.
Math Subject Classifications: 35B33, 46E30, 46L65.
Key Words: Critical exponents; Lorentz spaces; quantization phenomena.
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Fethi Mahmoudi
Scuola Internazionale Superiore Di Studi Avanzati (Sissa)
Via Beirut 24, 34014 Trieste, Italy
email: mahmoudi@sissa.it 
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