Add to ORKGHere, recent spectral properties of some linear and nonlinear problems in spaces of con-stant curvature are reviewed. In particular, isoperimetric inequalities for low eigenvalues of the Laplace–Beltrami operator with Dirichlet and Neumann boundary conditions on smooth bounded domains on both Sn and Hn are considered. Also, I consider the Brézis– Nirenberg problem in those spaces
We study an eigenvalue problem for the biharmonic operator with Neumann boundary conditions on domai...
Considering an n-dimensional Riemannian manifold M whose sectional curvature is bounded above by κ a...
In this thesis we study three problems in the field of geometric analysis: eigenvalue estimate of no...
Considering an n-dimensional Riemannian manifold M whose sectional curvature is bounded above by κ a...
In this work we review two classical isoperimetric inequalities involving eigenvalues of the Laplaci...
In this paper we prove discreteness of the spectrum of the Neumann–Laplacian (the free membrane prob...
We prove an isoperimetric inequality for the harmonic mean of the first $N-1$ non-trivial Neumann ei...
Here we prove an isoperimetric inequality for the harmonic mean of the first N −1 nontrivial Neumann...
We prove an isoperimetric inequality for the harmonic mean of the first $N-1$ non-trivial Neumann ei...
Let (M; g) be an n-dimensional compact and connected Riemannian man-ifold of constant scalar curvatu...
In this paper we prove a sharp lower bound for the first non-trivial Neumann eigenvalue μ1(Ω) for th...
We show that for convex domains in Euclidean space, Cheeger’s isoperimetric inequality, spectral gap...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
The goal of the paper is to sharpen and generalise bounds involving Cheeger’s isoperimetric constant...
We study an eigenvalue problem for the biharmonic operator with Neumann boundary conditions on domai...
Considering an n-dimensional Riemannian manifold M whose sectional curvature is bounded above by κ a...
In this thesis we study three problems in the field of geometric analysis: eigenvalue estimate of no...
Considering an n-dimensional Riemannian manifold M whose sectional curvature is bounded above by κ a...
In this work we review two classical isoperimetric inequalities involving eigenvalues of the Laplaci...
In this paper we prove discreteness of the spectrum of the Neumann–Laplacian (the free membrane prob...
We prove an isoperimetric inequality for the harmonic mean of the first $N-1$ non-trivial Neumann ei...
Here we prove an isoperimetric inequality for the harmonic mean of the first N −1 nontrivial Neumann...
We prove an isoperimetric inequality for the harmonic mean of the first $N-1$ non-trivial Neumann ei...
Let (M; g) be an n-dimensional compact and connected Riemannian man-ifold of constant scalar curvatu...
In this paper we prove a sharp lower bound for the first non-trivial Neumann eigenvalue μ1(Ω) for th...
We show that for convex domains in Euclidean space, Cheeger’s isoperimetric inequality, spectral gap...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
The goal of the paper is to sharpen and generalise bounds involving Cheeger’s isoperimetric constant...
We study an eigenvalue problem for the biharmonic operator with Neumann boundary conditions on domai...
Considering an n-dimensional Riemannian manifold M whose sectional curvature is bounded above by κ a...
In this thesis we study three problems in the field of geometric analysis: eigenvalue estimate of no...