Non-coercive radially symmetric variational problems: Existence, symmetry and convexity of minimizers
Optimization and Control
2019-07-25 v1
Abstract
We prove existence of radially symmetric solutions and validity of Euler-Lagrange necessary conditions for a class of variational problems such that neither direct methods nor indirect methods of Calculus of Variations apply. We obtain existence and qualitative properties of the solutions by means of ad-hoc superlinear perturbations of the functional having the same minimizers of the original one.
Keywords
Cite
@article{arxiv.1904.10371,
title = {Non-coercive radially symmetric variational problems: Existence, symmetry and convexity of minimizers},
author = {Graziano Crasta and Annalisa Malusa},
journal= {arXiv preprint arXiv:1904.10371},
year = {2019}
}
Comments
16 pages, 1 figure