IJPAM: Volume 54, No. 2 (2009)
23, Hidrostroitelei, Krasnodar, 350065, RUSSIA
Abstract.The variational principle leading to generalized minimal surfaces in a class of Liouville surfaces was formulated. It was proved that extremal surfaces satisfy generalized Laplace condition almost everywhere.
Received: August 14, 2008
AMS Subject Classification: 49Q10
Key Words and Phrases: Liouville surface, mean curvature, Gauss curvature, semi-geodesic parametrization, weak convergence, generalized Laplace condition, generalized minimal surfaces
Source: International Journal of Pure and Applied Mathematics