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arXiv · 1512.07432

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

Giovanni Pisante·Tonia Ricciardi
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Abstract

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 $γ\to0^+$.

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Giovanni Pisante, Tonia Ricciardi. 2015-12-23. Sign-changing two-peak solutions for an elliptic free boundary problem related to confined plasmas. https://arxiv.org/abs/1512.07432

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