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math.DG2022★ 3 cited
A variational setting for an indefinite Lagrangian with an affine Noether charge
Erasmo Caponio, Dario Corona
We introduce a variational setting for the action functional of an autonomous and indefinite Lagrangian on a finite dimensional manifold. Our basic assumption is the existence of a…
math.AP2022
A non-autonomous variational problem describing a nonlinear Timoshenko beam
D. Corona, A. Della Corte, F. Giannoni
We study the non-autonomous variational problem: \begin{equation*} \inf_{(ϕ,θ)} \bigg\{\int_0^1 \bigg(\frac{k}{2}ϕ'^2 + \frac{(ϕ-θ)^2}{2}-V(x,θ)\bigg)\text{d}x\bigg\} \end{equation…