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- W2049857129 abstract "Regularity is proven almost everywhere for minimisers of problems motivated by nonlinear elasticity. Model problems treated include [ int_Omega {| {Du} |^2 + | {det Du} |^2 } ,] where $ u:Omega ( subset mathbb{R}^2 ) to mathbb{R}^2 $ and [ int_Omega {| {Du} |^2 + | {Du} |^s + | {AdDu} |^s + | {det Du} |^2 } ,] where $ u:Omega - (mathbb{R}^3 ) to mathbb{R}^3 $ with $s > 2$. In particular, continuity of minimisers is not assumed a priori. “Degenerate” convexity of the integrand in the higher minors M of $Du$ is also allowed, in the sense that second derivatives in M may approach zero as $M to 0$." @default.
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- W2049857129 date "1991-09-01" @default.
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- W2049857129 title "Partial Regularity in Problems Motivated by Nonlinear Elasticity" @default.
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- W2049857129 doi "https://doi.org/10.1137/0522098" @default.
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