A further multiplicity result for Lagrangian systems of relativistic oscillators

2022/06/26 by Biagio Ricceri, Ricceri, Biagio
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2206.12881

openalex publication_date 2022/06/26 · openalex created_date 2022/06/30 · openalex updated_date 2026/07/28

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(ϕ(u'))'=∇_xF(t,u) amp; in [0,T]\cr amp; \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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