Golovko, Elena Dirichlet problem for a not strongly elliptic system of second order equations. (Russian. English summary) Zbl 0648.35030 Differ. Uravn. Primen. 40, 9-15 (1987). The Dirichlet problem for a system of equations \[ -\Delta u+\Lambda \text{grad div} u=0, \] where \(\Lambda\) is a constant matrix, is studied in a half space \(\{x=(x_ 1,...,x_ n)|\) \((x_ n>0)\}\). Some situations are considered where the problem is not solvable in the Noether sense. Cited in 1 Document MSC: 35J25 Boundary value problems for second-order elliptic equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000) Keywords:Dirichlet problem; half space; solvable in the Noether sense PDFBibTeX XMLCite \textit{E. Golovko}, Differ. Uravn. Primen. 40, 9--15 (1987; Zbl 0648.35030)