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Sharp Spectral Inequalities for Fourth Order Differential Operators on Semi-Axis

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Abstract

In this paper we consider fourth order differential operators on semi-axis with Robin type boundary condition at zero. Using the commutation method we obtain sharp Lieb-Thirring inequalities for the negative eigenvalues of double multiplicity.

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Authors and Affiliations

  1. Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan

    Muhammad Danish Zia & Muhammad Usman

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  1. Muhammad Danish Zia
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  2. Muhammad Usman
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Correspondence to Muhammad Usman.

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Zia, M.D., Usman, M. Sharp Spectral Inequalities for Fourth Order Differential Operators on Semi-Axis. Math Phys Anal Geom 22, 24 (2019). https://doi.org/10.1007/s11040-019-9321-9

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  • DOI: https://doi.org/10.1007/s11040-019-9321-9

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