Constrained variational problems governed by gradient-type variations and biomedical applications

Author : MariusAlin Dragu

Abstract : The aim of this paper is the optimization of constrained simple, multiple and curvilinear integral type functionals by considering gradient-type variation functions. Concretely, the associated necessary conditions of optimality are stated by applying appropriate mathematical pipelines. The main results highlight the controlled Euler- Lagrange type differential equations, creating a novel perspective in the variational calculus field. In addition, several biomedical illustrative examples are provided to validate the theoretical outcomes.

Keywords : Constrained variational problems, gradient-type variations, Euler-Lagrange equations.

Conference Name : International Conference on Advances in Pure & Applied Mathematics (ICAPAM-25)

Conference Place : Budapest, Hungary

Conference Date : 5th Nov 2025