Estimates of the First Eigenvalue of Minimal Hypersurfaces on n-dimensional Ellipsoid
Sheng Li · Fudan xuebao. Ziran Kexue ban · 2005
The solution of a certain Dirichlet problem on a domain in ellipsoid whose boundary is a minimal hypersurface is considered.A poincare type inequality for the corresponding solution and an estimate for the first nonzero eigenvalue are obtained.