AbstractIn this paper we show the Dirichlet and Neumann problems over exterior regions have unique solutions in certain weighted Sobolev spaces. Two applications are given: (1) The Dirichlet problem for semi-linear operators, and (2) a Helmholtz decomposition for vector fields on exterior regions
We study the Dirichlet problem for uniformly elliptic second order linear differential equations wit...
We consider a boundary value problem for a homogeneous elliptic equation with an inhomogeneous Stekl...
Weighted Sobolev spaces are used to settle questions of existence and uniqueness of solutions to ext...
AbstractIn this paper we show the Dirichlet and Neumann problems over exterior regions have unique s...
The paper is the investigation in the field of boundary-value problems for differential partial equa...
We obtain some estimates for solutions of an elliptic problem and, as application, we deduce certain...
We study the properties of generalized solutions in unbounded domains and the asymptotic behavior of...
In this paper we prove an existence and uniqueness theorem for the Dirichlet problem in W^{2,p} _s f...
AbstractThis paper solves Dirichlet and Neumann problems for the Laplace operator in exterior domain...
AbstractDenote by L a second order strongly elliptic operator in the Euclidian p-space Rp, and by P ...
We study a homogeneous infinite dimensional Dirichlet problem in a half-space of a Hilbert space inv...
AbstractWe give existence and uniqueness results in weighted Sobolev spaces for a solution of a firs...
In this paper we prove some a priori bounds for a class of uniformly elliptic second order linear di...
This paper deals with the Dirichlet problem for second order linear elliptic equations in unbounded ...
We studied the properties of generalized solutions in unbounded domains and the asymptotic behavior ...
We study the Dirichlet problem for uniformly elliptic second order linear differential equations wit...
We consider a boundary value problem for a homogeneous elliptic equation with an inhomogeneous Stekl...
Weighted Sobolev spaces are used to settle questions of existence and uniqueness of solutions to ext...
AbstractIn this paper we show the Dirichlet and Neumann problems over exterior regions have unique s...
The paper is the investigation in the field of boundary-value problems for differential partial equa...
We obtain some estimates for solutions of an elliptic problem and, as application, we deduce certain...
We study the properties of generalized solutions in unbounded domains and the asymptotic behavior of...
In this paper we prove an existence and uniqueness theorem for the Dirichlet problem in W^{2,p} _s f...
AbstractThis paper solves Dirichlet and Neumann problems for the Laplace operator in exterior domain...
AbstractDenote by L a second order strongly elliptic operator in the Euclidian p-space Rp, and by P ...
We study a homogeneous infinite dimensional Dirichlet problem in a half-space of a Hilbert space inv...
AbstractWe give existence and uniqueness results in weighted Sobolev spaces for a solution of a firs...
In this paper we prove some a priori bounds for a class of uniformly elliptic second order linear di...
This paper deals with the Dirichlet problem for second order linear elliptic equations in unbounded ...
We studied the properties of generalized solutions in unbounded domains and the asymptotic behavior ...
We study the Dirichlet problem for uniformly elliptic second order linear differential equations wit...
We consider a boundary value problem for a homogeneous elliptic equation with an inhomogeneous Stekl...
Weighted Sobolev spaces are used to settle questions of existence and uniqueness of solutions to ext...
DOI
Add to ORKG