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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/140/abstr.html |
| _version_ | 1811208417594834944 |
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| author | Huda Al Saud Hichem Hajaiej |
| author_facet | Huda Al Saud Hichem Hajaiej |
| author_sort | Huda Al Saud |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-12T04:20:51Z |
| format | Article |
| id | doaj.art-2daff2f110b24b398f003f9a6945982d |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T04:20:51Z |
| publishDate | 2018-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-2daff2f110b24b398f003f9a6945982d2022-12-22T03:48:14ZengTexas 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 |
| 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 |
| title | 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_short | Existence of minimizers of multi-constrained variational problems for product functions |
| title_sort | existence of minimizers of multi constrained variational problems for product functions |
| 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 |