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arXiv · 2607.26861

Qualitative bifurcation diagram for Grad-Shafranov type equations

Daniele Bartolucci·Guangze Gu·Aleks Jevnikar·Juncheng Wei·Ruijun Wu
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Abstract

We study the qualitative behavior of solutions of Grad-Shafranov type equations arising in plasma physics with general differential operators and general nonlinearities. In particular, we extend recent estimates about threshold values for uniqueness, monotonicity and non-existence of the free boundary. The argument is based on a refined spectral analysis for weighted non-local problems together with comparison techniques and level set analysis.

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Daniele Bartolucci, Guangze Gu, Aleks Jevnikar, Juncheng Wei, Ruijun Wu. 2026-07-29. Qualitative bifurcation diagram for Grad-Shafranov type equations. https://arxiv.org/abs/2607.26861

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