| Title:
|
Relaxation of vectorial variational problems (English) |
| Author:
|
Roubíček, Tomáš |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
120 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
411-430 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Multidimensional vectorial non-quasiconvex variational problems are relaxed by means of a generalized-Young-functional technique. Selective first-order optimality conditions, having the form of an Euler-Weiestrass condition involving minors, are formulated in a special, rather a model case when the potential has a polyconvex quasiconvexification. (English) |
| Keyword:
|
variational relaxation |
| Keyword:
|
abstract relaxed problem |
| Keyword:
|
first-order optimality conditions |
| Keyword:
|
Carathéodory integrands |
| Keyword:
|
quasiconvexified problem |
| Keyword:
|
Young measures |
| Keyword:
|
relaxed variational problems |
| Keyword:
|
minors of gradients |
| Keyword:
|
optimality conditions |
| Keyword:
|
Weierstrass-type maximum principle |
| MSC:
|
35D05 |
| MSC:
|
46E35 |
| MSC:
|
49J45 |
| MSC:
|
49J99 |
| MSC:
|
49K27 |
| MSC:
|
49K99 |
| MSC:
|
73V25 |
| MSC:
|
74P10 |
| MSC:
|
74S30 |
| MSC:
|
90C29 |
| idZBL:
|
Zbl 0859.49013 |
| idMR:
|
MR1415089 |
| DOI:
|
10.21136/MB.1995.126087 |
| . |
| Date available:
|
2009-09-24T21:13:43Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126087 |
| . |
| Reference:
|
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