Exploratory project supported by Fundação para a Ciência e a Tecnologia, reference 2024.14494.PEX
Total funding: 59.959,38€
Expected starting date: February 1st, 2026
Duration: 18 months
Principal Investigator: Delia Schiera
Team members:
Brief description.
Combining tools and methodologies from functional analysis, geometry, PDEs, and calculus of variations, the team will explore spectral properties for anisotropic and fully-nonlinear operators. Expected outcomes include a complete study of optimization of the principal eigenvalue of the anisotropic p-Laplace operator with respect to a sign-changing weight, or with respect to the anisotropy. Moreover, the team aims to develop a comprehensive spectral theory for Pucci operators with sign-changing weights, with the objective of addressing spectral optimization problems for these operators.