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Showing 1 to 3 of 3 for “"Neumann eigenvalues"”.
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CLASSIFICATION RESULTS FOR SEMILINEAR ELLIPTIC EQUATIONS
… the cone. In particular, it is proved that the Neumann eigenvalues of the Laplace Beltrami operator on D play a role in computing the Morse index. The second one is about a similar breaking of symmetry result, obtained for positive solutions of the critical Neumann problem in the whole unbounded …
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Spectral problems on triangles and disks: Extremizers and ground states
… of unity in the sense that we are looking at the eigenvalues (energy levels) of the operator. In the first case, with no magnetic field, we can say a lot about how the eigenvalues depend on the shape of the triangular domain. On the other hand, in the second case, with magnetic fi eld, it is much …
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Asymptotically optimal shapes for counting lattice points and eigenvalues
… case p = 2 corresponds to minimization of high eigenvalues of the Dirichlet Laplacian on rectangles, and so our work generalizes a result of Antunes and Freitas. Similarly, we generalize a Neumann eigenvalue maximization result of van den Berg, Bucur and Gittins. Further, Ariturk and Laugesen …