Calculus of Variations and Geometric Measure Theory

F. Della Pietra - G. Piscitelli

An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes

created by piscitelli on 29 Sep 2022



Inserted: 29 sep 2022

Year: 2020

ArXiv: 2005.13840 PDF


In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes. An analogous estimate is obtained for the corresponding torsional rigidity problem.