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Discreteness of the Steklov Spectrum for Exterior Non-Compact Free-Boundary Minimal Surfaces with Regular Ends of Finite Total Curvature

Kozyrev, Igor
arXiv (All) · Papers
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differential-geometryspectral-theory
We study the Steklov problem on non-compact exterior free-boundary minimal surfaces. Boundary values need not determine a unique harmonic extension, so the operator also requires a prescription at infinity. For proper surfaces in $\mathbb{R}^3$ with compact boundary and finitely many regular ends of
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