3 papers
math.AP2026
A Local Linking Theorem for Relativistic Action Functionals
Manuel Garzón, Salvador López-Martínez
We establish an analogue of the Brezis-Nirenberg local linking theorem for a class of Szulkin-type functionals arising from relativistic action principles. In this framework, compa…
math.DS2025
Action-minimizing periodic orbits of the Lorentz force equation with dominant vector potential
Manuel Garzón, Salvador López-Martínez
We establish the existence of non-constant periodic solutions to the Lorentz force equation, where no scalar potential is needed to induce the electromagnetic field. Our results ex…
math.AP2025
Momentum-mass normalized dark-bright solitons to one dimensional Gross-Pitaevskii systems
Salvador López-Martínez
We rigorously establish the existence of dark-bright solitons as traveling wave solutions to a one dimensional defocusing Gross-Pitaevskii system, a widely used model for describin…