EIGENVALUE INEQUALITIES OF THE SCHRÖDINGER-TYPE OPERATOR ON BOUNDED DOMAINS IN STRICTLY PSEUDOCONVEX CR MANIFOLDS

Title & Authors
EIGENVALUE INEQUALITIES OF THE SCHRÖDINGER-TYPE OPERATOR ON BOUNDED DOMAINS IN STRICTLY PSEUDOCONVEX CR MANIFOLDS
Du, Feng; Li, Yanli; Mao, Jing;

Abstract
In this paper, we study the eigenvalue problem of Schr$\small{\ddot{o}}$dinger-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.
Keywords
sub-Laplacian;Schr$\small{\ddot{o}}$dinger-type operator;eigenvalues;universal inequalities;strictly pseudoconvex CR manifolds;
Language
English
Cited by
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