Sign-changing two-peak solutions for an elliptic free boundary problem related to confined plasmas

الأصل · EN

By a perturbative argument, we construct solutions for a plasma-type problem with two opposite-signed sharp peaks at levels 1 and -γ, respectively, where 0<γ<1. We establish some physically relevant qualitative properties for such solutions, including the connectedness of the level sets and the asymptotic location of the peaks as γ→0+.