Payne's nodal line conjecture fails on doubly-connected planar domains (2025)
Freitas, P., Leylekian, R.
arXiv

Extremal problems for clamped plates under tension (2025)
Freitas, P., Leylekian, R.
arXiv

Fourth Order Saint-Venant Inequalities: Maximizing Compliance and Mean Deflection Among Clamped Plates (2025)
Ashbaugh, M.S., Bucur, D., Laugesen, R.S. and Leylekian, R.
Commun. Math. Phys.
article arXiv HAL

Existence of an optimal shape for the first eigenvalue of polyharmonic operators  (2025)
Leylekian, R.
Calc. Var. Partial Differential Equations
article arXiv HAL

Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate (2024)
Leylekian, R.
Arch. Ration. Mech. Anal.
article arXiv HAL

Sufficient conditions yielding the Rayleigh Conjecture for the clamped plate  (2024)
Leylekian, R.
Ann. Mat. Pura Appl.
article arXiv HAL