Al Saud, HudaHajaiej, Hichem2022-02-162022-02-162018-07-08Al Saud, H., & Hajaiej, H. (2018). Existence of minimizers of multi-constrained variational problems for product functions. <i>Electronic Journal of Differential Equations, 2018</i>(140), pp. 1-16.1072-6691https://hdl.handle.net/10877/15340We 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.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalMulti-constrainedVariationalElliptic systemsNon-compactArticle