Existence of minimizers of multi-constrained variational problems for product functions
Date
2018-07-08
Authors
Al Saud, Huda
Hajaiej, Hichem
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Multi-constrained, Variational, Elliptic systems, Non-compact
Citation
Al 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.
Rights
Attribution 4.0 International