6 papers · 1 filter
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…
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…
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…
Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
We classify the singular limits relative to a free boundary problem arising in plasma physics in dimension , under suitable natural integral bounds. It turns out that one of t…
Sharp estimates, uniqueness and spikes condensation for superlinear free boundary problems arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Ruijun Wu
We are concerned with Grad-Shafranov type equations, describing in dimension the equilibrium configurations of a plasma in a Tokamak. We obtain a sharp superlinear generaliza…