4 papers
On the characterization of the Dirichlet and Fucik spectra of the one-dimensional anisotropic p-Laplace operator
Raul Fernandes Horta, Marcos Montenegro
The paper is concerned with the Dirichlet spectrum of the anisotropic -Laplace operator on an interval where \[ Î^{a,b}_p u:= \left(a…
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…
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…
Optimal anisotropies for p-Laplace type operators in the plane
Raul Fernandes Horta, Marcos Montenegro
Sharp lower and upper uniform estimates are obtained for fundamental frequencies of -Laplace type operators generated by quadratic forms. Optimal constants are exhibited, rigidi…