Boundary conditions and null Lagrangians in the calculus of variations and elasticity

DOI10.1007/S10659-022-09912-5WikidataQ114017622 ScholiaQ114017622MaRDI QIDQ6612630

Peter J. Olver

Publication date: 1 October 2024

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

beamelasticityEuler-Lagrange equationsminimal surfacecalculus of variationsplateboundary conditionnull LagrangianelasticatractionPiola-Kirchhoff stress

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Nonlinear elasticity (74B20) Plates (74K20) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Optimality conditions for problems involving ordinary differential equations (49K15) Variational principles of physics (49S05)

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