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arXiv · 2501.12939

Sharp estimates for fundamental frequencies of elliptic operators generated by asymmetric seminorms in low dimensions

Julian Haddad·Raul Fernandes Horta·Marcos Montenegro
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Abstract

We establish new sharp asymmetric Poincare 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.

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Julian Haddad, Raul Fernandes Horta, Marcos Montenegro. 2025-01-22. Sharp estimates for fundamental frequencies of elliptic operators generated by asymmetric seminorms in low dimensions. https://arxiv.org/abs/2501.12939

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