Călin Şerban
West University of Timişoara, Timişoara, Romania

We discuss the existence of multiple pairs of nontrivial solutions for potential systems involving odd perturbations of the relativistic operator under Dirichlet, periodic and Neumann boundary conditions. Both parametric and non-parametric nonlinearities are addressed. The approach is variational and relies on critical point theory for convex, lower semicontinuous perturbations of $C^1$-functionals.
Based on joint work with Petru Jebelean.

[1] P. Jebelean and C. Şerban, Relativistic type systems with parametric odd nonlinearities, Commun. Pure Appl. Anal., 22 (2023), 736-750