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Discontinuity, Nonlinearity, and Complexity 12(3) (2023) 643--653 | DOI:10.5890/DNC.2023.09.011

Panayotis Vyridis, Vianey A. Hern\'andez Ram\'irez

Department of Physics and Mathematics, Instituto Polit'ecnico Nacional, I.P.N., Campus Zacatecas, Zacatecas, 098160, M'exico

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Abstract

We study the variation along the normal direction of the deformation energy of a plane curve under the existence of an anisotropic term. The problem of variational character corresponds to a nonlinear nonhomogeneous differential equation of fourth order. This kind of problems arises from the elasticity theory, in particular from the deformation theory of elastic shells.

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