About Hölder-regularity of the convex shape minimizing λ2

Jimmy Lamboley

In this paper, we consider the well-known following shape optimization problem: $${\lambda }_2({\Omega }^{\ast })=\underset{\stackrel{|\Omega |=V_0}{\Omega \text{ convex}}}{\min }{\lambda }_2(\Omega ),$$ where $λ_2(\Om)$ denotes the seco…