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Please use this identifier to cite or link to this item: http://nbn-resolving.de/urn:nbn:de:hebis:34-2018012354238

Title: On the existence of symmetric minimizers
Authors: Stylianou, Athanasios
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 23-Jan-2018
Series/Report no.: Mathematische Schriften Kassel18, 01
Abstract: In this note we revisit a less known symmetrization method for functions with respect to a topological group, which we call G-averaging. We note that, although quite non-technical in nature, this method yields G-invariant minimizers of functionals satisfying some relaxed convexity properties. We give an abstract theorem and show how it can be applied to the p-Laplace and polyharmonic Poisson problem in order to construct symmetric solutions. We also pose some open problems and explore further possibilities where the method of G-averaging could be applied to.
URI: urn:nbn:de:hebis:34-2018012354238
Appears in Collections:Mathematische Schriften Kassel

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