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Leylekian, R. « Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate ». In : Arch. Ration. Mech. Anal. 248.2 (2024), Paper No. 28. issn : 0003-9527,1432-0673. doi : 10.1007/s00205-024-01972-2 (arXiv:2306.15523)  

Leylekian, R. « Existence of an optimal shape for the first eigenvalue of polyharmonic operators ». In : Calc. Var. Partial Differential Equations 64.3 (2025), Paper No. 78. issn : 0944-2669,1432-0835. doi : 10.1007/s00526-025-02936-4 (arXiv:2402.11713)

Ashbaugh, M.S., Bucur, D., Laugesen, R.S., Leylekian, R. « Fourth order Saint-Venant inequalities: maximizing compliance and mean deflection among clamped plates ». (2025) Preprint at https://arxiv.org/abs/2501.15026