In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes. An analogous estimate is obtained for the corresponding torsional rigidity problem
Starting from the Brock's construction of Continuous Steiner Symmetrization of sets, the problem of ...
In this paper we prove the existence of a maximum for the first Steklov-Dirichlet eigenvalue in the ...
We present some new bounds for the first Robin eigenvalue with a negative boundary parameter. These...
Given a bounded Euclidean domain Ω, we consider the sequence of optimisers of the kth Laplacian eige...
In this paper we study the $\Gamma$-limit, as $p\to 1$, of the functional $$ J_{p}(u)=\frac{\dis...
The aim of this paper is to obtain optimal estimates for the first Robin eigenvalue of the anisotrop...
We consider the Laplacian with attractive Robin boundary conditions, \[ Q^\Omega_\alpha u=-\Delta u,...
We consider the Laplacian with attractive Robin boundary conditions, \[ Q^\Omega_\alpha u=-\Delta u,...
Here, we prove an isoperimetric inequality for the harmonic mean of the first N - 1 non-trivial Neum...
We consider the shape optimization problems for the quantities $\lambda(\Omega)T^q(\Omega)$, where $...
We solve the isoperimetric problem for the first and second nonzero Steklov eigenvalues of planar do...
We consider a Serrin-type problem in convex cones in the Euclidean space and motivated by recent rig...
Barta’s principle and gradient bounds for the torsion function are the main tools for deriving lower...
Let $\Omega$ be a bounded Lipshcitz domain in $\mathbb{R}^n$ and we study boundary behaviors of solu...
AbstractWe study the maximum principle, the existence of eigenvalue and the existence of solution fo...
Starting from the Brock's construction of Continuous Steiner Symmetrization of sets, the problem of ...
In this paper we prove the existence of a maximum for the first Steklov-Dirichlet eigenvalue in the ...
We present some new bounds for the first Robin eigenvalue with a negative boundary parameter. These...
Given a bounded Euclidean domain Ω, we consider the sequence of optimisers of the kth Laplacian eige...
In this paper we study the $\Gamma$-limit, as $p\to 1$, of the functional $$ J_{p}(u)=\frac{\dis...
The aim of this paper is to obtain optimal estimates for the first Robin eigenvalue of the anisotrop...
We consider the Laplacian with attractive Robin boundary conditions, \[ Q^\Omega_\alpha u=-\Delta u,...
We consider the Laplacian with attractive Robin boundary conditions, \[ Q^\Omega_\alpha u=-\Delta u,...
Here, we prove an isoperimetric inequality for the harmonic mean of the first N - 1 non-trivial Neum...
We consider the shape optimization problems for the quantities $\lambda(\Omega)T^q(\Omega)$, where $...
We solve the isoperimetric problem for the first and second nonzero Steklov eigenvalues of planar do...
We consider a Serrin-type problem in convex cones in the Euclidean space and motivated by recent rig...
Barta’s principle and gradient bounds for the torsion function are the main tools for deriving lower...
Let $\Omega$ be a bounded Lipshcitz domain in $\mathbb{R}^n$ and we study boundary behaviors of solu...
AbstractWe study the maximum principle, the existence of eigenvalue and the existence of solution fo...
Starting from the Brock's construction of Continuous Steiner Symmetrization of sets, the problem of ...
In this paper we prove the existence of a maximum for the first Steklov-Dirichlet eigenvalue in the ...
We present some new bounds for the first Robin eigenvalue with a negative boundary parameter. These...