| bibtype |
J -
Journal Article
|
| ARLID |
0392445 |
| utime |
20240103202549.5 |
| mtime |
20130920235959.9 |
| WOS |
000334679400018 |
| DOI |
10.1007/s00526-013-0621-9 |
| title
(primary) (eng) |
Sequential weak continuity of null Lagrangians at the boundary |
| specification |
| page_count |
16 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0252329 |
| ISSN |
0944-2669 |
| title
|
Calculus of Variations and Partial Differential Equations |
| volume_id |
49 |
| page_num |
1263-1278 |
| publisher |
|
|
| keyword |
null Lagrangians |
| keyword |
nonhomogeneous nonlinear mappings |
| keyword |
sequential weak/in measure continuity |
| author
(primary) |
| ARLID |
cav_un_auth*0231021 |
| name1 |
Kalamajska |
| name2 |
A. |
| country |
PL |
|
| author
|
| ARLID |
cav_un_auth*0291413 |
| name1 |
Kraemer |
| name2 |
S. |
| country |
DE |
|
| author
|
| ARLID |
cav_un_auth*0101142 |
| name1 |
Kružík |
| name2 |
Martin |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GAP201/10/0357 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0263489 |
|
| abstract
(eng) |
We show sequential weak/in measure continuity of some nonhomogeneous nonlinear mappings. We also give a precise characterization of null Lagrangians at the boundary in arbitrary dimensions. Further, we state a new weak lower semicontinuity theorem for integrands depending on null Lagrangians at the boundary. The paper closes with an example indicating that a well-known result on higher integrability of determinant by Müller (Bull. Am. Math. Soc. New Ser. 21(2): 245–248, 1989) need not necessarily extend to our setting. The notion of quasiconvexity at the boundary due to J.M. Ball and J. Marsden is central to our analysis. |
| reportyear |
2015 |
| RIV |
BA |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0221334 |
| mrcbT16-e |
MATHEMATICS|MATHEMATICSAPPLIED |
| mrcbT16-j |
2.177 |
| mrcbT16-s |
2.952 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
95.956 |
| mrcbT16-C |
89.774 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| arlyear |
2014 |
| mrcbU34 |
000334679400018 WOS |
| mrcbU63 |
cav_un_epca*0252329 Calculus of Variations and Partial Differential Equations 0944-2669 1432-0835 Roč. 49 3/4 2014 1263 1278 Springer |
|