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Remarks on Sobolev inequalities and stability of minimal submanifolds

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Publication:1169732
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DOI10.2969/jmsj/03520323zbMath0495.58011OpenAlexW2055566248MaRDI QIDQ1169732

Shukichi Tanno

Publication date: 1983

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03520323

zbMATH Keywords

Sobolev inequalitiesminimal surface of a unit spherestability of minimal submanifolds


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)


Related Items

Penrose type inequalities for asymptotically hyperbolic graphs, Stability of Harmonic Maps and Eigenvalues of the Laplacian, On the stability of minimal surfaces in \(S^ 3\), Upper bounds for the index of minimal surfaces



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