Add to ORKGhuit pagesWe give a proof of the Poincaré inequality in W^{1,p} with a constant that is independent of U, where U is a set of uniformly bounded and uniformly Lipschitz domains in R^n. As a byproduct, we obtain the following : The first non vanishing eigenvalues \lambda_2 of the standard Neumann (variational) boundary value problem on ? for the Laplace operator are bounded below by a positive constant if the domains ? vary and remain uniformly bounded and uniformly Lipschitz regular
summary:Inequalities of Korn's type involve a positive constant, which depends on the domain, in gen...
summary:Inequalities of Korn's type involve a positive constant, which depends on the domain, in gen...
We consider the Laplacian with Dirichlet or Neumann boundary conditions on bounded Lipschitz domains...
We study boundary value problems for bounded uniform domains in $\mathbb{R}^n$, $n\geq 2$, with non-...
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 $p$-...
Dedicated to A. Ambrosetti, a guide who definitively changed my life ABSTRACT. The classical Poincar...
International audienceLet $\Omega$ be an arbitrary bounded domain of $\R^n$. We study the right inve...
International audienceLet $\Omega$ be an arbitrary bounded domain of $\R^n$. We study the right inve...
With the aim of obtaining at least Cordes-Nirenberg, Schauder and Calderon-Zygmund estimates for sol...
summary:If $\Omega \subset \Bbb R^n$ is a bounded domain with Lipschitz boundary $\partial \Omega $ ...
summary:If $\Omega \subset \Bbb R^n$ is a bounded domain with Lipschitz boundary $\partial \Omega $ ...
For each natural number n and any bounded, convex domain Ω ⊂ R n we characterize the sharp constant ...
Let Ω be an arbitrary open set in IR³. Let || • || denote the L²(Ω) norm, and let [formula omitted] ...
Let Ω be an arbitrary open set in IR³. Let || • || denote the L²(Ω) norm, and let [formula omitted] ...
summary:Inequalities of Korn's type involve a positive constant, which depends on the domain, in gen...
summary:Inequalities of Korn's type involve a positive constant, which depends on the domain, in gen...
We consider the Laplacian with Dirichlet or Neumann boundary conditions on bounded Lipschitz domains...
We study boundary value problems for bounded uniform domains in $\mathbb{R}^n$, $n\geq 2$, with non-...
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 $p$-...
Dedicated to A. Ambrosetti, a guide who definitively changed my life ABSTRACT. The classical Poincar...
International audienceLet $\Omega$ be an arbitrary bounded domain of $\R^n$. We study the right inve...
International audienceLet $\Omega$ be an arbitrary bounded domain of $\R^n$. We study the right inve...
With the aim of obtaining at least Cordes-Nirenberg, Schauder and Calderon-Zygmund estimates for sol...
summary:If $\Omega \subset \Bbb R^n$ is a bounded domain with Lipschitz boundary $\partial \Omega $ ...
summary:If $\Omega \subset \Bbb R^n$ is a bounded domain with Lipschitz boundary $\partial \Omega $ ...
For each natural number n and any bounded, convex domain Ω ⊂ R n we characterize the sharp constant ...
Let Ω be an arbitrary open set in IR³. Let || • || denote the L²(Ω) norm, and let [formula omitted] ...
Let Ω be an arbitrary open set in IR³. Let || • || denote the L²(Ω) norm, and let [formula omitted] ...
summary:Inequalities of Korn's type involve a positive constant, which depends on the domain, in gen...
summary:Inequalities of Korn's type involve a positive constant, which depends on the domain, in gen...
We consider the Laplacian with Dirichlet or Neumann boundary conditions on bounded Lipschitz domains...