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arXiv · 2206.12881

A further multiplicity result for Lagrangian systems of relativistic oscillators

Biagio Ricceri
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Abstract

This is our third paper, after [4] and [5], about a joint application of the theory developed by Brezis and Mawhin in [1] with our minimax theorems ([2], [3]) to get multiple solutions of problems of the type $$\cases{(\phi(u'))'=\nabla_xF(t,u) & in $[0,T]$\cr & \cr u(0)=u(T)\ , \hskip 3pt u'(0)=u'(T)\cr}$$ which are global minima of a suitable functional over a set of Lipschitzian functions. A challenging conjecture is also formulated.

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Biagio Ricceri. 2022-06-26. A further multiplicity result for Lagrangian systems of relativistic oscillators. https://arxiv.org/abs/2206.12881

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