Existence of minimizers of multi-constrained variational problems for product functions

Autor: Huda Al Saud, Hichem Hajaiej
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2018, Iss 140,, Pp 1-16 (2018)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
Databáze: Directory of Open Access Journals