Geometric conditions for the positive definiteness of the second variation in one-dimensional problems

DOI10.1088/1361-6544/AA6448zbMath1383.49031arXiv1604.02558OpenAlexW3099744057MaRDI QIDQ5268504

Alain Goriely, Thomas Lessinnes

Publication date: 20 June 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02558

zbMATH Keywords

variational calculusoptimality conditionssecond variationSturm-Liouville theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Energy minimization in equilibrium problems in solid mechanics (74G65) Optimality conditions for problems involving ordinary differential equations (49K15) Geometrical methods for optimization problems in solid mechanics (74P20)

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