Journal
REVISTA MATEMATICA IBEROAMERICANA
Volume 36, Issue 3, Pages 723-740Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/RMI/1146
Keywords
Degenerate elliptic operators; Dirichlet problems; principal eigenvalue; qualitative properties
Categories
Funding
- JSPS grants: KAKENHI [16H03948, 18H00833]
- Sapienza University
- GNAMPA-INDAM
Ask authors/readers for more resources
We consider the nonlinear eigenvalue problem, with Dirichlet boundary condition, for the very degenerate elliptic operator P-1(+) mapping a function u to the maximum eigenvalue of its Hessian matrix. The aim is to show that, at least for square type domains having fixed volume, the symmetry of the domain maximizes the principal eigenvalue, contrary to what happens for the Laplacian.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
