Characterization of symmetric polyconvexity in higher dimensions
I Merabet, O Boussaid - Calculus of Variations and Partial Differential …, 2025 - Springer
In this work, we aim to characterize symmetric polyconvex functions in higher dimensions.
Building on the characterization provided by Boussaid et al., for 2 d and 3 d cases, we …
Building on the characterization provided by Boussaid et al., for 2 d and 3 d cases, we …
(Positive) Quadratic Determinantal Representations of Quartic Curves and the Robinson Polynomial
C Brüser, M Kummer - arXiv preprint arXiv:2412.02319, 2024 - arxiv.org
We prove that every real nonnegative ternary quartic whose complex zero set is smooth can
be represented as the determinant of a symmetric matrix with quadratic entries which is …
be represented as the determinant of a symmetric matrix with quadratic entries which is …
Weak and Strong Extremal Biquadratics
We study quasiconvex quadratic forms on $ n\times m $ matrices which correspond to
nonnegative biquadratic forms in $(n, m) $ variables. We disprove a conjecture stated by …
nonnegative biquadratic forms in $(n, m) $ variables. We disprove a conjecture stated by …