Existence of minimizers of multi-constrained variational problems for product functions
We prove the existence of minimizers of a class of multi-constrained variational problems in which the non linearity involved is a product function not satisfying compactness, monotonicity, neither symmetry properties. Our result cannot be covered by previous studies that considered only a parti...
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Texas State University
2018-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/140/abstr.html |
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doaj-2daff2f110b24b398f003f9a6945982d2020-11-24T22:12:52ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-07-012018140,116Existence of minimizers of multi-constrained variational problems for product functionsHuda Al Saud0Hichem Hajaiej1 King Saud Univ., Riyadh, Saudi Arabia California State Univ., Los Angeles, CA, USA We prove the existence of minimizers of a class of multi-constrained variational problems in which the non linearity involved is a product function not satisfying compactness, monotonicity, neither symmetry properties. Our result cannot be covered by previous studies that considered only a particular class of integrands. A key step is establishing the strict sub-additivity condition in the vectorial setting. This inequality is also interesting in itself.http://ejde.math.txstate.edu/Volumes/2018/140/abstr.htmlMulti-constrainedvariationalelliptic systemsnon-compact |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Huda Al Saud Hichem Hajaiej |
| spellingShingle |
Huda Al Saud Hichem Hajaiej Existence of minimizers of multi-constrained variational problems for product functions Electronic Journal of Differential Equations Multi-constrained variational elliptic systems non-compact |
| author_facet |
Huda Al Saud Hichem Hajaiej |
| author_sort |
Huda Al Saud |
| title |
Existence of minimizers of multi-constrained variational problems for product functions |
| title_short |
Existence of minimizers of multi-constrained variational problems for product functions |
| title_full |
Existence of minimizers of multi-constrained variational problems for product functions |
| title_fullStr |
Existence of minimizers of multi-constrained variational problems for product functions |
| title_full_unstemmed |
Existence of minimizers of multi-constrained variational problems for product functions |
| title_sort |
existence of minimizers of multi-constrained variational problems for product functions |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2018-07-01 |
| description |
We prove the existence of minimizers of a class of multi-constrained
variational problems in which the non linearity involved is a product
function not satisfying compactness, monotonicity, neither symmetry properties.
Our result cannot be covered by previous studies that considered only a
particular class of integrands. A key step is establishing the strict
sub-additivity condition in the vectorial setting.
This inequality is also interesting in itself. |
| topic |
Multi-constrained variational elliptic systems non-compact |
| url |
http://ejde.math.txstate.edu/Volumes/2018/140/abstr.html |
| work_keys_str_mv |
AT hudaalsaud existenceofminimizersofmulticonstrainedvariationalproblemsforproductfunctions AT hichemhajaiej existenceofminimizersofmulticonstrainedvariationalproblemsforproductfunctions |
| _version_ |
1725801957585584128 |