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math.AP2026
Stationary periodic solutions for nonlinear Dirac equations with non-coercive nonlinearity II: splitting
Ruijun Wu, Fuping Zhang
We study stationary periodic solutions of nonlinear Dirac equations with Soler-type nonlinearities. By splitting off a circle factor the problem is reduced to dimension two. The no…
math.AP2026
Qualitative bifurcation diagram for Grad-Shafranov type equations
Daniele Bartolucci, Guangze Gu, Aleks Jevnikar +2
We study the qualitative behavior of solutions of Grad-Shafranov type equations arising in plasma physics with general differential operators and general nonlinearities. In particu…
math.AP2026
Stationary periodic solutions to Nonlinear Dirac equations with non-coercive potentials
Fuping Zhang, Ruijun Wu
Motivated by the Soler model, we study a nonlinear Dirac equation with a non-coercive Soler-type nonlinearity. Stationary periodic solutions are obtained via variational methods. T…