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math.AP2012★ 46 cited
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations
Mircea Birsan, Patrizio Neff
The paper is concerned with the geometrically non-linear theory of 6-parametric elastic shells with drilling degrees of freedom. This theory establishes a general model for shells,…
math-ph2012
On the convexity of the function C --> f(det C) on positive definite matrices
Stephan Lehmich, Patrizio Neff, Johannes Lankeit
We prove a condition on f \in C^2(\R+,\R) for the convexity of (f o det) on PSym(n), namely that f o det is convex on PSym(n) if and only if f"(s)+(n-1)/(ns) f'(s) >= 0 and f'(s)<=…