On the polyharmonic Neumann problem in weighted spaces

HA Matevossian - Complex Variables and Elliptic Equations, 2019 - Taylor & Francis
We study the unique (non-unique) solvability of the Neumann problem for the polyharmonic
equation in unbounded domains under the assumption that a generalized solution of this …

On the Steklov-type biharmonic problem in unbounded domains

HA Matevossian - Russian Journal of Mathematical Physics, 2018 - Springer
We study the unique solvability of the Steklov–type biharmonic problem in unbounded
domains under the assumption that a generalized solution of this problem has a bounded …

On the biharmonic Steklov problem in weighted spaces

HA Matevossian - Russian Journal of Mathematical Physics, 2017 - Springer
We study the unique solvability of the Steklov problem for the biharmonic equation in
unbounded domains under the assumption that a generalized solution of this problem has a …

On the generalized Farwig problem for a polyharmonic equation

HA Matevossian - Complex Variables and Elliptic Equations, 2024 - Taylor & Francis
A generalization of the Farwig problem for a polyharmonic equation is considered, for which
the uniqueness of solutions in unbounded domains (the exterior of a compact set, half …

On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains

HA Matevossian - p-Adic Numbers, Ultrametric Analysis and Applications, 2017 - Springer
We study the unique solvability of the mixed Dirichlet-Steklov problem for the biharmonic
equation in exterior domains under the assumption that a generalized solution of this …

Asymptotics and uniqueness of solutions of the elasticity system with the mixed Dirichlet–Robin boundary conditions

HA Matevossian - Mathematics, 2020 - mdpi.com
We study properties of generalized solutions of the Dirichlet–Robin problem for an elasticity
system in the exterior of a compact, as well as the asymptotic behavior of solutions of this …

On the mixed Dirichlet–Steklov-type and Steklov-type biharmonic problems in weighted spaces

H Matevossian - Mathematical and Computational Applications, 2019 - mdpi.com
We studied the properties of generalized solutions in unbounded domains and the
asymptotic behavior of solutions of elliptic boundary value problems at infinity. Moreover, we …

On the mixed Neumann–Robin problem for the elasticity system in exterior domains

HA Matevossian - Russian Journal of Mathematical Physics, 2020 - Springer
We study the properties of generalized solutions of the mixed Neumann–Robin problem for
the linear system of elasticity theory in the exterior of a compact set and the asymptotic …

On the biharmonic problem with the Steklov-type and Farwig boundary conditions

HA Matevossian - Lobachevskii Journal of Mathematics, 2020 - Springer
We study the unique solvability of the mixed biharmonic problem with the Steklov-type and
Farwig conditions on the boundary in the exterior of a compact set under the assumption that …

Mixed boundary value problems for the elasticity system in exterior domains

HA Matevossian - Mathematical and Computational Applications, 2019 - mdpi.com
We study the properties of solutions of the mixed Dirichlet–Robin and Neumann–Robin
problems for the linear system of elasticity theory in the exterior of a compact set and the …