The regularity of critical points of polyconvex functionals

The regularity of critical points of polyconvex functionals

In this paper we are concerned with the question of regularity of critical points for functionals of the type eq1 We construct a smooth, strongly polyconvex eq2, and Lipschitzian weak solutions eq3 to the corresponding Euler-Lagrange system, which are nowhere C^sup 1^. Moreover we show that F can be...

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Veröffentlicht in:Archive for rational mechanics and analysis 2004-04, Vol.172 (1), p.133-152
1. Verfasser: SZEKELYHIDI, Laszlo JR
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Theory and numerical methods
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Zusammenfassung:In this paper we are concerned with the question of regularity of critical points for functionals of the type eq1 We construct a smooth, strongly polyconvex eq2, and Lipschitzian weak solutions eq3 to the corresponding Euler-Lagrange system, which are nowhere C^sup 1^. Moreover we show that F can be chosen in such a way that these irregular weak solutions are weak local minimisers.[PUBLICATION ABSTRACT]
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-003-0300-7