Neumann's nodal line may be closed on doubly-connected planar domains (2026)
Freitas, P., Leylekian, R.
arXiv

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.
Journal des Mathématiques Pures et Appliquées
article arXiv HAL

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.
Communications in Mathematical Physics
article arXiv HAL

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

Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate (2024)
Leylekian, R.
Archive for Rational Mechanics and Analysis
article arXiv HAL

Sufficient conditions yielding the Rayleigh Conjecture for the clamped plate  (2024)
Leylekian, R.
Annali di Matematica Pura ed Applicata
article arXiv HAL