Add to ORKGWe provide a self-contained proof of the solvability and regularity of a Hodge-type elliptic system, wherein the divergence and curl of a vector field are prescribed in an open, bounded, Sobolev-class domain, and either the normal component or the tangential components of the vector field are prescribed on the boundary. The proof is based on a regularity theory for vector elliptic equations set on Sobolev-class domains and with Sobolev-class coefficients
The partial regularity in the generalized solutions of boundary Dirichlet and Neuman problems for no...
Abstract. In the first part of the paper we give a satisfactory definition of the Stokes operator in...
AbstractWe develop a simple variational argument based on the usual Nirenberg difference quotient te...
We provide a self-contained proof of the solvability and regularity of a Hodge-type ellipti...
In this article we demonstrate that the solutions of a certain class of non-linear elliptic systems ...
The solution of the Dirichlet problem relative to an elliptic system in a polyhedron has a complex ...
Abstract. We consider the question of partial regularity for weak solutions to homogeneous nonlinear...
In a bounded Lipschitz domain in Rn, we consider a second-order strongly elliptic system with symmet...
International audienceWe continue the development, by reduction to a first order system for the cono...
We develop new solvability methods for divergence form second order, real and complex, elliptic syst...
We study the regularity of the solution of the regularized electric Maxwell problem in a polygonal d...
In the first part of the paper, we give a satisfactory definition of the Stokes operator in Lipschit...
This book, which is based on several courses of lectures given by the author at the Independent Univ...
This paper is devoted to the study of C0,α-regularity for weak solutions to elliptic systems in dive...
On a bounded domain $\Omega$ in euclidean space $\mathbbR^n$, we study the homogeneous Dirichlet pr...
The partial regularity in the generalized solutions of boundary Dirichlet and Neuman problems for no...
Abstract. In the first part of the paper we give a satisfactory definition of the Stokes operator in...
AbstractWe develop a simple variational argument based on the usual Nirenberg difference quotient te...
We provide a self-contained proof of the solvability and regularity of a Hodge-type ellipti...
In this article we demonstrate that the solutions of a certain class of non-linear elliptic systems ...
The solution of the Dirichlet problem relative to an elliptic system in a polyhedron has a complex ...
Abstract. We consider the question of partial regularity for weak solutions to homogeneous nonlinear...
In a bounded Lipschitz domain in Rn, we consider a second-order strongly elliptic system with symmet...
International audienceWe continue the development, by reduction to a first order system for the cono...
We develop new solvability methods for divergence form second order, real and complex, elliptic syst...
We study the regularity of the solution of the regularized electric Maxwell problem in a polygonal d...
In the first part of the paper, we give a satisfactory definition of the Stokes operator in Lipschit...
This book, which is based on several courses of lectures given by the author at the Independent Univ...
This paper is devoted to the study of C0,α-regularity for weak solutions to elliptic systems in dive...
On a bounded domain $\Omega$ in euclidean space $\mathbbR^n$, we study the homogeneous Dirichlet pr...
The partial regularity in the generalized solutions of boundary Dirichlet and Neuman problems for no...
Abstract. In the first part of the paper we give a satisfactory definition of the Stokes operator in...
AbstractWe develop a simple variational argument based on the usual Nirenberg difference quotient te...