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Asymptotics and quantization for a mean-field equation of higher order
| Content Provider | Semantic Scholar |
|---|---|
| Author | Martinazzi, Luca |
| Copyright Year | 2009 |
| Abstract | Given a regular bounded domain Ω ⊂ R, we describe the limiting behavior of sequences of solutions to the mean field equation of order 2m, m ≥ 1, (−∆)u = ρ e 2mu ∫ Ω e2mudx in Ω, under the Dirichlet boundary condition and the bound 0 < ρ ≤ C. We emphasize the connection with the problem of prescribing the Q-curvature. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://cvgmt.sns.it/papers/marpet/meanfield.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0904.3290v1.pdf |
| Alternate Webpage(s) | http://cvgmt.sns.it/HomePages/lm/papers/meanfield.pdf |
| Alternate Webpage(s) | http://www.math.rutgers.edu/~lm616/papers/meanfield.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Berry connection and curvature Courant–Friedrichs–Lewy condition Quantization (signal processing) Solutions |
| Content Type | Text |
| Resource Type | Article |