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Index estimates for complete noncompact free boundary minimal surfaces

Cavalcante, Marcos P. et al.
arXiv (All) · Papers
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differential-geometry
Let $Ω\subset\mathbb R^3$ be an unbounded domain with smooth boundary and let $Σ$ be a complete, noncompact, orientable, immersed free boundary minimal surface in $Ω$, with compact boundary $\partial Σ\subset\partial Ω$ and finite Morse index. We prove that if the mean curvature of $\partial Ω$ sati
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