12 citations · 12 across the 3 of their papers we have counts for
3 papers
math.OC2009
Polygons as optimal shapes with convexity constraint
Jimmy Lamboley, Arian Novruzi
In this paper, we focus on the following general shape optimization problem: $$ \min\{J(\Om), \Om convex, \Om\in\mathcal S_{ad}\}, $$ where is a set of 2-dimensio…
math.OC2009
Counterexamples to Symmetry for Partially Overdetermined Elliptic Problems
Ilaria Fragalà, Filippo Gazzola, Jimmy Lamboley +1
We exhibit several counterexamples showing that the famous Serrin's symmetry result for semilinear elliptic overdetermined problems may not hold for partially overdetermined proble…
math.OC2006★ 12 cited
Structure of shape derivatives around irregular domains and applications
Jimmy Lamboley, Michel Pierre
In this paper, we describe the structure of shape derivatives around sets which are only assumed to be of finite perimeter in . This structure allows us to define a useful no…