A Fractional Free Boundary Problem Related to a Plasma Problem

preprint2015arXivOpen access

We study a fractional analogue of a plasma problem arising from physics. Specifically, for a fixed bounded domain $Ω$ we study solutions to the eigenfunction equation $(- Δ)^s u = λ(u- γ)_+$ with $u \equiv 0$ on $\partial Ω$ .

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A Fractional Free Boundary Problem Related to a Plasma Problem

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