| project |
| ARLID |
cav_un_auth*0342255 |
| project_id |
GAP201/10/0357 |
| agency |
GA ČR |
|
| project |
| ARLID |
cav_un_auth*0342256 |
| project_id |
GAP107/12/0121 |
| agency |
GA ČR |
| country |
CZ |
|
| project |
| ARLID |
cav_un_auth*0342257 |
| project_id |
CZ01-DE03/2013-2014/DAAD-56269992 |
| agency |
GA AV ČR |
| country |
CZ |
|
| abstract
(eng) |
We state necessary and sufficient conditions for weak lower semicontinuity of integral functionals of the form u bar right arrow integral(Omega) h(x, u(x)) dx, where h is continuous and possesses a positively p-homogeneous recession function, p > 1, and u is an element of L-p(Omega, R-m) lives in the kernel of a constant-rank first-order differential operator A which admits an extension property. In the special case A = curl, apart from the quasiconvexity of the integrand, the recession function's quasiconvexity at the boundary in the sense of Ball and Marsden is known to play a crucial role. Our newly defined notions of A-quasiconvexity at the boundary, generalize this result. Moreover, we give an equivalent condition for the weak lower semicontinuity of the above functional along sequences weakly converging in L-p(Omega, R-m) and approaching the kernel of A even if A does not have the extension property. |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2018 |
| num_of_auth |
4 |
| mrcbC52 |
4 A hod 4ah 20231122142230.6 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0270855 |
| mrcbC64 |
1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED |
| confidential |
S |
| mrcbC86 |
2 Article Mathematics Applied|Mathematics |
| mrcbC86 |
1 Article Mathematics Applied|Mathematics |
| mrcbC86 |
1 Article Mathematics Applied|Mathematics |
| mrcbT16-e |
MATHEMATICS.APPLIED|MATHEMATICS |
| mrcbT16-f |
1.241 |
| mrcbT16-g |
0.556 |
| mrcbT16-h |
3.8 |
| mrcbT16-i |
0.00178 |
| mrcbT16-j |
1.554 |
| mrcbT16-k |
176 |
| mrcbT16-s |
2.045 |
| mrcbT16-5 |
1.649 |
| mrcbT16-6 |
18 |
| mrcbT16-7 |
Q1 |
| mrcbT16-B |
90.196 |
| mrcbT16-C |
87.1 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| mrcbT16-M |
2.16 |
| mrcbT16-N |
Q1 |
| mrcbT16-P |
93.065 |
| arlyear |
2017 |
| mrcbTft |
\nSoubory v repozitáři: kruzik-0470210.pdf |
| mrcbU14 |
85013656827 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000391557700003 WOS |
| mrcbU63 |
cav_un_epca*0361697 Advances in Calculus of Variations 1864-8258 1864-8266 Roč. 10 č. 1 2017 49 67 |