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Eigenvalue inequalities of the Schr\"{o}dinger-type operator on bounded domains in strictly pseudoconvex CR manifolds

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In this paper, we study the eigenvalue problem of Schr\"{o}ding\-er-type operator on bounded domains in strictly pseudoconvex CR manifolds and obtain some universal inequalities for lower order eigenvalues. Moreover, we will give some generalized Reilly-type inequalities of the first nonzero eigenvalue of the sub-Laplacian on a compact strictly pseudoconvex CR manifold without boundary.

Abstract

In this paper, we study the eigenvalue problem of Schr\"{o}ding\-er-type operator on bounded domains in strictly pseudoconvex CR manifolds and obtain some universal inequalities for lower order eigenvalues. Moreover, we will give some generalized Reilly-type inequalities of the first nonzero eigenvalue of the sub-Laplacian on a compact strictly pseudoconvex CR manifold without boundary.

참고문헌 (25)

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