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 |
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| creator | SZEKELYHIDI, Laszlo JR |
| description | 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] |
| doi_str_mv | 10.1007/s00205-003-0300-7 |
| format | Article |
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| language | eng |
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| subjects | Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid mechanics Structural and continuum mechanics Theory and numerical methods |
| title | The regularity of critical points of polyconvex functionals |
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