4 papers
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…
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…
The Rabinowitz continuum of subcritical Gelfand problems and free boundary-type equations arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
The qualitative behavior of the Rabinowitz unbounded continuum of subcritical Gelfand problems is well known on balls in any dimension. We don't know of any such sharp and detailed…
Weighted eigenvalues of Dirac operators: complete continuity and comparison
Zixuan Qiu, Ruijun Wu
We give a min-max characterization of the weighted Dirac eigenvalues, and show that the weighted eigenvalues and eigenspaces of Dirac operators are continuous with respect to weak…