Cristina Trombetti

On Some Functionals Involving Torsional Rigidity, Principal Eigenvalue and Perimeter

Abstract In this paper we study some relationships between the first Dirichlet Laplacian eigenvalue $$\Lambda (\Omega )$$ Λ ( Ω ) and the torsional rigidity $$T(\Omega )$$ T ( Ω ) of a domain $$\Omega $$ Ω . We consider the problem of optimizing the product $$\Lambda (\Omega )T(\...