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Abstract
Within the framework of nonlinear strain gradient elasticity, the Lamé problem for
an incompressible hollow elastic sphere is solved. The description of the
incompressibility condition in terms of Lagrange multipliers is discussed.
Keywords
strain gradient elasticity, nonlinear elasticity,
incompressibility, Lagrange multipliers, Lamé problem
Mathematical Subject Classification
Primary: 74A30, 74B20, 74G05
Milestones
Received: 4 July 2026
Revised: 24 July 2026
Accepted: 6 August 2026
Published: 22 September 2026
Communicated by Francesco dell'Isola
© 2027 MSP (Mathematical Sciences
Publishers).
