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 |
| Summary: | 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. |
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| ISSN: | 1072-6691 |