ASSO

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. 

Preprints:

• S. McCurdy, A. Saldaña, D. Schiera, On Neumann p-Laplacian Lane-Emden equations and their asymptotic relationship with relative isoperimetric problems, arXiv:2606.08222.

• S. Bove, G. Croce, G. Pisante, An existence result for a quantitative isoperimetric inequality in R^3 involving the Hausdorff asymmetry, arXiv:2605.29046.

• G. Pisante, F. Prinari, Sharp Makai-type inequalities for the best Poincaré-Sobolev constants, arXiv:2604.11973. 

• M. Clapp, A. Saldaña, D. Schiera, Sublinear elliptic equations with a sharp change of sign in the nonlinearity, arXiv:2603.11766.