Theoretical Mathematics & Applications

Universal inequalities for eigenvalues of elliptic operators in divergence form on domains in complete noncompact Riemannian manifolds

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  • Abstract

     

    In this paper, we study the eigenvalue problem of elliptic operators in divergence form, and obtain some universal inequalities for eigenvalues of elliptic operators in divergence form on domains in complete simple connected noncompact Riemannian manifolds admitting special functions which include hyperbolic space. Especially, by using our universal inequalities, we can get the different universal inequalities including Yang inequality.