Partial regularity for certain classes of polyconvex functionals related to nonlinear elasticity期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Partial regularity for certain classes of polyconvex functionals related to nonlinear elasticity

Authors:	Martin Fuchs Jürgen Reuling

Institution:	1. Fachbereich 9 Mathematik der Universit?t des Saarlandes, Postfach 151150, D-66041, Saarbrücken, Germany

Abstract:	Consider the variational integral $J(u): = \mathop \smallint \limits_\Omega \left\| {\nabla u} \right\|^p + H(\det \nabla u) dx$ where Ω⊂ℝⁿ andp≥n≥2. H: (0, ∞)→0, ∞) is a smooth convex function such that $\mathop {\lim }\limits_{t \downarrow 0} H(t) = \infty$ . We approximateJ by a sequence of regularized functionalsJ _δ whose minimizers converge strongly to anJ-minimizing function and prove partial regularity results forJ _δ-minimizers.

Keywords:	73 C 50 49 N 60 partial regularity nonlinear elasticity
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