Energy quantization for Yamabe's problem in conformal dimension
dc.contributor.author | Mahmoudi, Fethi | |
dc.date.accessioned | 2021-07-19T16:23:20Z | |
dc.date.available | 2021-07-19T16:23:20Z | |
dc.date.issued | 2006-07-07 | |
dc.description.abstract | Rivière [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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 17 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Mahmoudi, F. (2006). Energy quantization for Yamabe's problem in conformal dimension. <i>Electronic Journal of Differential Equations, 2006</i>(71), pp. 1-17. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13944 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Critical exponents | |
dc.subject | Lorentz spaces | |
dc.subject | Quantization phenomena | |
dc.title | Energy quantization for Yamabe's problem in conformal dimension | |
dc.type | Article |