Integral functionals on Sobolev spaces having multiple local minima
Biagio Ricceri
Abstract
In this paper, two multiplicity results about local minima of integrals of the calculus of variations are established. The main tool used to prove them is the theory developed in [B. Ricceri, Sublevel sets and global minima of coercive functionals and local minima of their pertubations, math.OC/0402444].
Create a lesson
Related papers
Stable Movement for Nondual Lipschitz Convex Optimization: Efficiency and Nearly Optimal Oracle Rates
David Martínez-Rubio, Cristóbal Guzmán
The First-Order Oracle Complexity of Lipschitz Convex Optimization in Nondual Settings
David Martínez-Rubio, Brian Bullins, Cristóbal Guzmán et al.
Complexity Of Output Feedback Stabilization
Amir Ali Ahmadi, Abraar Chaudhry, Ijay Narang et al.
Convergence rate of the moment-SOS hierarchy for univariate polynomial optimization
Didier Henrion, Mohab Safey El Din
Geometry and Convergence of Quadratically Regularized Optimal Transport I
Alberto González-Sanz, Marcel Nutz
Constraint Qualifications and Gradient Flows for Block Vanishing Constraint Problems
Julian Niederer, Christoph Hansknecht, Andreas Potschka et al.