On a system of fifth-order partial differential equations describing surfaces containing two families of circular arcs

DOI10.1080/17476933.2012.746967zbMath1304.35225OpenAlexW2013563701MaRDI QIDQ2929323

Kiyoomi Kataoka, Nobuko Takeuchi

Publication date: 11 November 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.746967

zbMATH Keywords

analyticitycyclide

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Curves in Euclidean and related spaces (53A04) Quasilinear elliptic equations (35J62) Systems of nonlinear higher-order PDEs (35G50)

Cites Work

• A surface containing a line and a circle through each point is a quadric
• A system of fifth-order partial differential equations describing a surface which contains many circles
• Darboux cyclides and webs from circles
• Cyclides
• Unnamed Item

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