Mahmoudi, Fethi2021-07-192021-07-192006-07-07Mahmoudi, F. (2006). Energy quantization for Yamabe's problem in conformal dimension. <i>Electronic Journal of Differential Equations, 2006</i>(71), pp. 1-17.1072-6691https://hdl.handle.net/10877/13944Rivière [11] proved an energy quantization for Yang-Mills fields defined on n-dimensional Riemannian manifolds, when n 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 W2,1 norm of their curvature is uniformly bounded. In the present paper, we prove a similar quantization phenomenon for the nonlinear elliptic equation -Δu = u|u|4/(n-2), in a subset Ω of ℝn.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalCritical exponentsLorentz spacesQuantization phenomenaArticle