Theoretical Mathematics & Applications

Bounds for the first eigenvalue of spherically symmetric surfaces

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• Abstract

  The bounds for the first eigenvalue of geodesic balls in spherically symmetric surfaces have been considered in this paper. These lower and upper bounds are C⁰-independent on the metric coefficients. Under special conditions shown in the paper, we obtain sharper lower or upper bounds for the first eigenvalues of geodesic balls of spherically symmetric surfaces than those of Barroso-Bessa’s for 2-dimensional case.