Guo, HongjieQi, Jiangang2022-04-112022-04-112017-04-11Guo, H., & Qi, J. (2017). Extremal norm for potentials of Sturm-Liouville eigenvalue problems with separated boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(99), pp. 1-11.1072-6691https://hdl.handle.net/10877/15631For the n-th eigenvalue of a Sturm-Liouville eigenvalue problem with separated boundary conditions, we express the infimum of the L1[0,1] norm of potentials, in terms of a parameter λ and the boundary conditions. Also we indicate where the infimum can be attained. As an application, we obtain the extremum of the n-th eigenvalue of a problem for potentials on a sphere in L1[0,1].Text11 pages1 file (.pdf)enAttribution 4.0 InternationalSturm-Liouville problemEigenvalueInverse problemLyapunov-type inequalityExtremal problemArticle