In this paper we analyze the approximation, by piecewise linear finite elements, of a Steklov eigenvalue problem in a plane domain with an external cusp. This problem is not covered by the literature and its analysis ...

In this paper we analyse piecewise linear finite element approximations of the Laplace eigenvalue problem in the plane domain Ω = { (x,y) : 0 < x < 1 , 0 < y < xα}, which gives for 1<α the simplest model of an external ...

In a paper by R. Dur ́ an, A. Lombardi, and the authors (2007) the finite element method was applied to a non-homogeneous Neumann problem on a cuspidal domain Ω ⊂ R 2 , and quasi-optimal order error estimates in the energy ...

The Korn inequality and related results on solutions of the divergence in Sobolev spaces have been widely studied since the pioneering works by Korn and Friedrichs. In particular, it is known that this inequality is valid ...

This paper deals with solutions of the divergence for domains with external cusps. It is known that the classic results in standard Sobolev spaces, which are basic in the variational analysis of the Stokes equations, are ...

Se dice que una transformaci6n conforme f del disco unidad D del plano complejo en sí mismo es hiperbólicamente convexa si el segmento de recta hiperbólica que une cualquier par de puntos de f (D) está a su vez contenido ...

Neste trabalho resolvemos o problema de controlabilidade exata na fronteira para a equação linear de Klein-Gordon em domínios limitadosΩ deR N , N≥2, com fronteira suave por partes e sem cuspides. Para dados iniciais emH ...

Neste trabalho resolvemos o problema de controlabilidade exata na fronteira para a equação linear de Klein-Gordon em domínios limitadosΩ deR N , N≥2, com fronteira suave por partes e sem cuspides. Para dados iniciais emH ...