Add to ORKG© 2017, Pleiades Publishing, Ltd. We consider a boundary value problem for a second-order linear elliptic differential equation with constant coefficients in a domain that is the exterior of an ellipse. The boundary conditions of the problem contain the values of the function itself and its normal derivative. We give a constructive solution of the problem and find the number of solvability conditions for the inhomogeneous problem as well as the number of linearly independent solutions of the homogeneous problem. We prove the boundary uniqueness theorem for the solutions of this equation
This paper deals with some general irregular oblique derivative problems for nonlinear uniformly ell...
The paper is the investigation in the field of boundary-value problems for differential partial equa...
An elliptic differential equation of the second order has been considered in the paper. As a result ...
© 2017, Pleiades Publishing, Ltd. We consider a boundary value problem for a second-order linear ell...
We study a linear elliptic partial differential equation of second order in a bounded domain ? ? R...
AbstractThe Dirichlet problem for the region of the plane inside closed smooth curve C for second-or...
AbstractIn this paper, we consider the problem of solution uniqueness for the second order elliptic ...
© 2020, Pleiades Publishing, Ltd. Abstract: We study periodic boundary value problems for a second-o...
Abstract. This paper is the first in a series devoted to the analysis of the regularity of the solut...
© 2015, Allerton Press, Inc. We consider solution f to a linear elliptic differential equation of se...
This paper deals with some general irregular oblique derivative problems for nonlinear uniformly ell...
For the solutions of an elliptic equation with constant coefficients, we prove uniqueness theorems t...
In this article, we study irregular oblique derivative boundary-value problems for nonlinear ellipti...
AbstractSome recent results from a problem in viscous hydrodynamics have suggested a novel type of b...
讨论了二阶非线性椭圆型方程的一般边值问题.首先给出了此问题解的表示式和解的估计式,然后使用复分析方法证明了上述问题解的存在唯一性.This paper deals with the general b...
This paper deals with some general irregular oblique derivative problems for nonlinear uniformly ell...
The paper is the investigation in the field of boundary-value problems for differential partial equa...
An elliptic differential equation of the second order has been considered in the paper. As a result ...
© 2017, Pleiades Publishing, Ltd. We consider a boundary value problem for a second-order linear ell...
We study a linear elliptic partial differential equation of second order in a bounded domain ? ? R...
AbstractThe Dirichlet problem for the region of the plane inside closed smooth curve C for second-or...
AbstractIn this paper, we consider the problem of solution uniqueness for the second order elliptic ...
© 2020, Pleiades Publishing, Ltd. Abstract: We study periodic boundary value problems for a second-o...
Abstract. This paper is the first in a series devoted to the analysis of the regularity of the solut...
© 2015, Allerton Press, Inc. We consider solution f to a linear elliptic differential equation of se...
This paper deals with some general irregular oblique derivative problems for nonlinear uniformly ell...
For the solutions of an elliptic equation with constant coefficients, we prove uniqueness theorems t...
In this article, we study irregular oblique derivative boundary-value problems for nonlinear ellipti...
AbstractSome recent results from a problem in viscous hydrodynamics have suggested a novel type of b...
讨论了二阶非线性椭圆型方程的一般边值问题.首先给出了此问题解的表示式和解的估计式,然后使用复分析方法证明了上述问题解的存在唯一性.This paper deals with the general b...
This paper deals with some general irregular oblique derivative problems for nonlinear uniformly ell...
The paper is the investigation in the field of boundary-value problems for differential partial equa...
An elliptic differential equation of the second order has been considered in the paper. As a result ...