Huda Al Saud, Hichem Hajaiej
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.
Submitted February 23, 2018. Published July 8, 2018.
Math Subject Classifications: 74G65, 35J62, 35A15, 35B06, 58E05.
Key Words: Multi-constrained; variational; elliptic systems; non-compact.
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| Huda Al Saud |
Department of mathematics
College of Science, King Saud University
Riyadh, Saudi Arabia
| Hichem Hajaiej |
California State University Los Angeles
5151 University Drive
Los Angeles, CA 90032, USA
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