caa a22 4500 606166459 CHVBK 20210128100658.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10440-014-9997-6 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9997-6 Minima of Invariant Functions: The Inverse Problem [Elektronische Daten] [Jürgen Scheurle, Sebastian Walcher] We determine locally minimizing functions that are invariant with respect to the action of a finite linear group. This resolves a problem which is inverse to one discussed in a seminal paper by Abud and Sartori, and occurs naturally in various physical applications, such as elasticity theory and phase transitions. A general existence result reduces the local problem to elementary computations. Some results are extended to the compact case, and some examples and applications are given. Springer Science+Business Media Dordrecht, 2014 Symmetry breaking nationallicence Orbit space nationallicence Elasticity nationallicence Shape-memory alloys nationallicence Scheurle Jürgen Zentrum Mathematik, TU München, Boltzmannstr. 3, 85747, Garching, Germany aut Walcher Sebastian Mathematik A, RWTH Aachen, 52056, Aachen, Germany aut Acta Applicandae Mathematicae Springer Netherlands 137/1(2015-06-01), 233-252 0167-8019 137:1<233 2015 137 10440 https://doi.org/10.1007/s10440-014-9997-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9997-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Scheurle Jürgen Zentrum Mathematik, TU München, Boltzmannstr. 3, 85747, Garching, Germany aut NATIONALLICENCE 700 1- Walcher Sebastian Mathematik A, RWTH Aachen, 52056, Aachen, Germany aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 137/1(2015-06-01), 233-252 0167-8019 137:1<233 2015 137 10440