Showing 2026Show all
2 papers · 1 filter
math.AP2026
Concavity and hot spots in elliptic problems under mixed boundary conditions
Dorin Bucur, Ilaria Fragalà
We consider the torsion function and the first Laplacian eigenfunction in a convex curvilinear sector in the plane, under homogeneous Neumann conditions on the two straight lateral…
math.AP2026
Quantitative Kröger inequalities for Neumann eigenvalues of convex domains
Dorin Bucur, Andrea Gentile, Antoine Henrot
Refining the sharp upper bounds obtained by Kröger (1999) for the -th Neumann eigenvalue of a convex domain , we prove the following inequali…