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On Compactness of Minimizing Sequences Subject to a Linear Differential Constraint
| Content Provider | Semantic Scholar |
|---|---|
| Author | Krömer, Stefan |
| Copyright Year | 2011 |
| Abstract | For Ω ⊂ RN open (and possibly unbounded), we consider integral functionals of the form F (u) := ∫ Ω f(x, u) dx, de ned on the subspace of Lp consisting of those vector elds u which satisfy Au = 0 on Ω in the sense of distributions. Here, A may be any linear di erential operator of rst order with constant coe cients satisfying Murat's condition of constant rank. The main results provide sharp conditions for the compactness of minimizing sequences with respect to the strong topology in Lp. |
| Starting Page | 269 |
| Ending Page | 303 |
| Page Count | 35 |
| File Format | PDF HTM / HTML |
| DOI | 10.4171/ZAA/1435 |
| Volume Number | 30 |
| Alternate Webpage(s) | http://www.math.cmu.edu/cna/Publications/publications2009/005abs/09-CNA-005.pdf |
| Alternate Webpage(s) | https://doi.org/10.4171/ZAA%2F1435 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
