Stationary periodic solutions to Nonlinear Dirac equations with non-coercive potentials
Analysis of PDEs
2026-03-04 v2
Abstract
We obtain periodic solutions for nonlinear Dirac equations with a nonlinear term that is not necessarily coercive.This amounts to study the equation on a three-dimensional torus.The Palais-Smale condition is enhanced by involving a coercive perturbation.Uniform estimates for the critical levels as well as the Sobolev norms for the perturbed solutions are obtained, making it possible to pass to a limit which gives a nontrivial solution.
Cite
@article{arxiv.2602.10509,
title = {Stationary periodic solutions to Nonlinear Dirac equations with non-coercive potentials},
author = {Fuping Zhang and Ruijun Wu},
journal= {arXiv preprint arXiv:2602.10509},
year = {2026}
}
Comments
18 pages