Abstract
Supposing the non-positive function V(x) on \({\mathbb {R}}^n\) belongs to \(L_{\text {loc}}^p({\mathbb {R}}^n)\) for some \(p\ge 1,\) we studied the number of negative eigenvalues of higher-order Schrödinger type operators \(L=(-\triangle )^m+V\) with the integer \(2\le m < n/2.\)
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Acknowledgements
All authors would like to thank referees for carefully reading the manuscript and valuable comments, which greatly improved the presentation of this paper. This work is supported by the National Natural Science Foundation of China (11771023).
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Communicated by Julio Rossi.
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Zhao, Y., Tang, L. Estimates for negative eigenvalues of higher-order Schrödinger type operators. Adv. Oper. Theory 9, 4 (2024). https://doi.org/10.1007/s43036-023-00302-9
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DOI: https://doi.org/10.1007/s43036-023-00302-9