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math.OC2026
On the relations between fundamental frequency and torsional rigidity in the case of anisotropic energies
Giuseppe Buttazzo, Raul Fernandes Horta
We consider variational energies of the form \[E_H(u)=\frac12\int_ΩH^2(\nabla u)\,dx\] defined on the Sobolev space , where is a general seminorm. Our primary objecti…
math.OC2025
Sharp estimates for fundamental frequencies of elliptic operators generated by asymmetric seminorms in low dimensions
Julian Haddad, Raul Fernandes Horta, Marcos Montenegro
We establish new sharp asymmetric Poincare inequalities in one-dimension with the computation of optimal constants and characterization of extremizers. Using the one-dimensional th…