Sharp estimates for fundamental frequencies of elliptic operators generated by asymmetric seminorms in low dimensions
Julián Haddad, Raul Fernandes Horta, Marcos Montenegro · Journal of Differential Equations · 2025
We establish new sharp asymmetric Poincaré inequalities in one-dimension with the computation of optimal constants and characterization of extremizers. Using the one-dimensional theory we develop a comprehensive study on fundamental frequencies in the plane and related spectral optimization in the very general setting of positively homogeneous anisotropies.