Riviere  proved an energy quantization for Yang-Mills 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 Yang-Mills 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)
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