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 …

Uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points and their applications

MV Korovina, HA Matevossian - Mathematics, 2022 - mdpi.com
In this paper, we consider the problem of obtaining the asymptotics of solutions of differential
operators in a neighborhood of an irregular singular point. More precisely, we construct …

Mixed biharmonic problem with the Steklov-type and Neumann boundary conditions in unbounded domains

G Migliaccio, HA Matevossian - Lobachevskii Journal of Mathematics, 2022 - Springer
A biharmonic problem with mixed Steklov-type and Neumann conditions on the boundary in
the exterior of a compact set is considered under the assumption that the generalized …

Solution of the Biharmonic Problem with the Steklov-type and Farwig Boundary Conditions

G Migliaccio, HA Matevossian - Lobachevskii Journal of Mathematics, 2024 - Springer
In this paper, we consider a biharmonic problem with Steklov-type boundary conditions on
one part of the boundary and with the Farwig condition on the other part. For this problem …

On Solutions of the Navier Problem for a Polyharmonic Equation in Unbounded Domains

HA Matevossian - Russian Journal of Mathematical Physics, 2023 - Springer
The polyharmonic Navier problem is considered, the uniqueness (non-uniqueness) of its
solution is studied in unbounded domains under the assumption that the generalized …

Steklov Biharmonic Problem with Weighted Dirichlet Integral

HA Matevossian - Lobachevskii Journal of Mathematics, 2024 - Springer
We consider the Steklov biharmonic problem with the boundary conditions with parameters
in the exterior of a compact set under the assumption that the generalized solutions of this …

Steklov–Neumann Biharmonic Problem in Weighted Spaces

HA Matevossian - Lobachevskii Journal of Mathematics, 2023 - Springer
We consider the mixed biharmonic problem with the Steklov–Neumann boundary conditions
with parameters in the exterior of a compact set under the assumption that the generalized …

Steklov–Farwig Biharmonic Problem in Exterior Domains

G Migliaccio, HA Matevossian - Lobachevskii Journal of Mathematics, 2023 - Springer
A biharmonic problem with the mixed Steklov–Farwig boundary conditions in the exterior of
a compact set is considered under the assumption that the generalized solutions of this …