Add to ORKGIn this note we prove a version of the classical Schwarz lemma for the first eigenvalue of the Laplacian with Dirichlet boundary data. A key ingredient in our proof is an isoperimetric inequality for the first eigenfunction, due to Payne and Rayner, which we reinterpret as an isoperimetric inequality for a (singular) conformal metric on a bounded domain in the plane.
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
in v2, we simplified the proof of Theorem 3.1We prove an Hersch's type isoperimetric inequality for ...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
In this note we prove a version of the classical Schwarz lemma for the first eigenvalue of the Lapla...
In this survey, we will study the relationship between isoperimetric inequalities and the first eige...
International audienceAn isoperimetric inequality for the second non-zero eigenvalue of the Laplace-...
International audienceAn isoperimetric inequality for the second non-zero eigenvalue of the Laplace-...
International audienceAn isoperimetric inequality for the second non-zero eigenvalue of the Laplace-...
AbstractWe studied the two known works on stability for isoperimetric inequalities of the first eige...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
summary:First we recall a Faber-Krahn type inequality and an estimate for $\lambda_p(\Omega)$ in ter...
We prove an isoperimetric inequality of the Rayleigh-Faber-Krahn type for a nonlinear generalization...
AbstractLet (Mn, g) be a compact Riemannian manifold with boundary. In this paper we give upper and ...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
in v2, we simplified the proof of Theorem 3.1We prove an Hersch's type isoperimetric inequality for ...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
In this note we prove a version of the classical Schwarz lemma for the first eigenvalue of the Lapla...
In this survey, we will study the relationship between isoperimetric inequalities and the first eige...
International audienceAn isoperimetric inequality for the second non-zero eigenvalue of the Laplace-...
International audienceAn isoperimetric inequality for the second non-zero eigenvalue of the Laplace-...
International audienceAn isoperimetric inequality for the second non-zero eigenvalue of the Laplace-...
AbstractWe studied the two known works on stability for isoperimetric inequalities of the first eige...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
summary:First we recall a Faber-Krahn type inequality and an estimate for $\lambda_p(\Omega)$ in ter...
We prove an isoperimetric inequality of the Rayleigh-Faber-Krahn type for a nonlinear generalization...
AbstractLet (Mn, g) be a compact Riemannian manifold with boundary. In this paper we give upper and ...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
in v2, we simplified the proof of Theorem 3.1We prove an Hersch's type isoperimetric inequality for ...
We prove a sharp lower bound for the first nontrivial Neumann eigenvalue $\mu_1(\Omega)$ of the $p$-...
