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math.AP2024
On spectral optimization for p-Laplace type operators
Raul Fernandes Horta, Marcos Montenegro
Sharp uniform estimates, both lower and upper, are obtained for fundamental frequencies of -Laplace type operators generated by quadratic forms. Optimal constants are computed,…
math.AP2024
Sharp isoanisotropic estimates for fundamental frequencies of membranes and connections with shapes
Raul Fernandes Horta, Marcos Montenegro
The underlying motivation of the present work lies on a cornerstone question in spectral optimization that consists of determining sharp lower and upper uniform estimates for funda…