کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591727 | 1335049 | 2009 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Concentration–compactness phenomena in the higher order Liouville's equation
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Concentration–compactness phenomena in the higher order Liouville's equation Concentration–compactness phenomena in the higher order Liouville's equation](/preview/png/4591727.png)
چکیده انگلیسی
We investigate different concentration–compactness and blow-up phenomena related to the Q-curvature in arbitrary even dimension. We first treat the case of an open domain in R2m, then that of a closed manifold and, finally, the particular case of the sphere S2m. In all cases we allow the sign of the Q-curvature to vary, and show that in the case of a closed manifold, contrary to the case of open domains in R2m, blow-up phenomena can occur only at points of positive Q-curvature. As a consequence, on a locally conformally flat manifold of non-positive Euler characteristic we always have compactness.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 256, Issue 11, 1 June 2009, Pages 3743-3771
Journal: Journal of Functional Analysis - Volume 256, Issue 11, 1 June 2009, Pages 3743-3771