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

  • Muhammad Danish Zia
  • Muhammad UsmanEmail author


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.


Fourth order operators Lieb-Thirring inequalities Commutation method 

Mathematics Subject Classification (2010)

Primary: 35P15 Secondary: 81Q10 



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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of MathematicsLahore University of Management SciencesLahorePakistan

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