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math.DG2004
Estimates of the first eigenvalue of minimal hypersurfaces of
Abdenago Barros, G. Pacelli Bessa
We consider a solution f of a certain Dirichlet Problem on a domain in whose boundary is a minimal hypersurface and we prove a Poincare type inequality for f. One have…
math.DG2004
Fundamental tone estimates for elliptic operators in divergence form and geometric applications
Gregorio Pacelli F Bessa, Barnabe Pessoa Lima, J. Fabio Montengro +1
We establish a method for giving lower bounds for the fundamental tone of elliptic operators in divergence form in terms of the divergence of vector fields. We then apply this meth…