For functions from the Sobolev space Hs (Ω), 12< s< 32, definitions of non-unique
generalized and unique canonical co-normal derivative are considered, which are related to …

The purpose of this paper is to use a layer potential analysis and the Leray–Schauder
degree theory to show an existence result for a nonlinear Neumann–transmission problem …

The purpose of this paper is to combine a layer potential analysis with the Schauder fixed
point theorem to show the existence of solutions of the Poisson problem for a semilinear …

The purpose of this paper is to study boundary value problems of Robin type for the
Brinkman system and a semilinear elliptic system, called the Darcy–Forchheimer–Brinkman …

Elliptic PDE systems of the second order with coefficients from L∞ or Hölder–Lipschitz
spaces are considered in the paper. Continuity of the operators in corresponding Sobolev …

The paper concerns regularity theory for linear elliptic systems with divergence form arising
from transmission problems. Estimates in BMO, Dini and Hölder spaces are derived …

The goal of this paper was to develop a potential analysis for a certain type of
pseudodifferential matrix operators on Lipschitz domains in compact Riemannian manifolds …

-solutions of the transmission problem, the Robin-transmission problem and the Dirichlet-
transmission problem for the Brinkman system are studied by the integral equation method …

We shall study a weak solution in the Sobolev space of the transmission problem for the
Laplace equation using the integral equation method. First we use the indirect integral …

The paper deals with the three‐dimensional Dirichlet boundary value problem (BVP) for a
second‐order strongly elliptic self‐adjoint system of partial differential equations in the …