Department of mathematics
College of Science, King Saud University
Riyadh, Saudi Arabia
email: halsaud@ksu.edu.sa
California State University Los Angeles
5151 University Drive
Los Angeles, CA 90032, USA
email: hhajaie@calstatela.edu
Huda Al Saud, Hichem Hajaiej
Abstract:
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 email: halsaud@ksu.edu.sa | |
|
Hichem Hajaiej California State University Los Angeles 5151 University Drive Los Angeles, CA 90032, USA email: hhajaie@calstatela.edu |
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