2 papers
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.AP2018
Sign changing solutions of Poisson's equation
Michiel van den Berg, Dorin Bucur
Let be an open, possibly unbounded, set in Euclidean space with boundary let be a measurable subset of with measure , and let . We…