Geodesics, soap bubbles and pattern formation in Riemannian surfaces

DOI10.1007/BF02921880zbMath1085.49047OpenAlexW2075895556WikidataQ115391166 ScholiaQ115391166MaRDI QIDQ1429299

C. E. Garza-Hume, Pablo Padilla, Heberto del Rio Guerra

Publication date: 18 May 2004

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921880

zbMATH Keywords

Gauss curvaturevarifoldsemilinear elliptic partial differential equationbistable potentialminimal closed geodesic

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational methods for second-order elliptic equations (35J20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (1)

Allen-Cahn min-max on surfaces

Cites Work

• Global asymptotic limit of solutions of the Cahn-Hilliard equation
• On Poincaré's isoperimetric problem for simple closed geodesics
• Connectivity of phase boundaries in strictly convex domains
• Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory.
• Closed geodesics on oval surfaces and pattern formation
• Elliptic Partial Differential Equations of Second Order
• On the convergence of stable phase transitions
• Geodesics and soap bubbles in surfaces
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