TL;DR
This paper uses a symmetric Ekeland's principle to enhance understanding of minimizing sequences in non-convex calculus of variations functionals within specific geometric regions.
Contribution
It introduces a symmetric version of Ekeland's principle to improve results on minimizing sequences in non-convex variational problems.
Findings
Improved properties of minimizing sequences in a ball or annulus.
Application of symmetric Ekeland's principle to non-convex functionals.
Enhanced understanding of variational minimization in specific domains.
Abstract
Via a symmetric version of Ekeland's principle recently obtained by the author we improve, in a ball or an annulus, a result of Boccardo-Ferone-Fusco-Orsina on the properties of minimizing sequences of functionals of calculus of variations in the non-convex setting.
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