As representatives of a larger class of elliptic boundary value problems of mathematical physicals, we study the Dirichlet problem for the Laplace operator and the electric boundary problem for the Maxwell operator. We state regularity results in two families of weighted Sobolev spaces: A classical isotropic family, and a new anisotropic family, where the hypoellipticity along an edge of a polyhedral domain is taken into account
Dedicated to Ivo Babuška on the occasion of his 80th birthday. Abstract. We prove a regularity resu...
We study the regularity of the solution of the regularized electric Maxwell problem in a polygonal d...
We prove that m-dimensional Lipschitz graphs with anisotropic mean curvature bounded in L^p, p > m, ...
In this note we show the H"older regularity for bounded solutions to a class of anisotropic elliptic...
The focus of this paper is the study of the regularity properties of the time harmonic Maxwell's equ...
We investigate optimal elliptic regularity of anisotropic div–grad operators in three dimensions at ...
The solution of the Dirichlet problem relative to an elliptic system in a polyhedron has a complex ...
Abstract. We consider the model Poisson problem −∆u = f ∈ Ω, u = g on ∂Ω, where Ω is a bounded polyh...
Let $\Upsilon$ be a three-dimensional Lipschitz polyhedron, and assume that the matrix function $\mu...
This paper is concerned with the anisotropic singular behaviour of the solution of elliptic boun...
Abstract. We prove a regularity result for the anisotropic elasticity equation Pu: = div C · ∇u) = ...
We analyze a natural approach to the regularity of solutions of problems related to some anisotropic...
We deal with existence and regularity for weak solutions to Dirichlet problems in a bounded domain ...
We characterize the singularity of two-dimensional elliptic div-grad operators at a vertex where sev...
We give existence, uniqueness, and regularity of the solutions of anisotropic elliptic problems
Dedicated to Ivo Babuška on the occasion of his 80th birthday. Abstract. We prove a regularity resu...
We study the regularity of the solution of the regularized electric Maxwell problem in a polygonal d...
We prove that m-dimensional Lipschitz graphs with anisotropic mean curvature bounded in L^p, p > m, ...
In this note we show the H"older regularity for bounded solutions to a class of anisotropic elliptic...
The focus of this paper is the study of the regularity properties of the time harmonic Maxwell's equ...
We investigate optimal elliptic regularity of anisotropic div–grad operators in three dimensions at ...
The solution of the Dirichlet problem relative to an elliptic system in a polyhedron has a complex ...
Abstract. We consider the model Poisson problem −∆u = f ∈ Ω, u = g on ∂Ω, where Ω is a bounded polyh...
Let $\Upsilon$ be a three-dimensional Lipschitz polyhedron, and assume that the matrix function $\mu...
This paper is concerned with the anisotropic singular behaviour of the solution of elliptic boun...
Abstract. We prove a regularity result for the anisotropic elasticity equation Pu: = div C · ∇u) = ...
We analyze a natural approach to the regularity of solutions of problems related to some anisotropic...
We deal with existence and regularity for weak solutions to Dirichlet problems in a bounded domain ...
We characterize the singularity of two-dimensional elliptic div-grad operators at a vertex where sev...
We give existence, uniqueness, and regularity of the solutions of anisotropic elliptic problems
Dedicated to Ivo Babuška on the occasion of his 80th birthday. Abstract. We prove a regularity resu...
We study the regularity of the solution of the regularized electric Maxwell problem in a polygonal d...
We prove that m-dimensional Lipschitz graphs with anisotropic mean curvature bounded in L^p, p > m, ...