×

On a problem for the polyharmonic equation in a ball. (Russian) Zbl 0747.31007

A boundary value problem for the polyharmonic equation in the unit ball in \(\mathbb{R}^ n\) is studied. The boundary value problem is of a special type; some conditions are prescribed on the normal derivative of the solution. Some necessary and sufficient conditions for the existence of a solution are given and a form of the solution is stated. Also the problem of uniqueness is studied.
Reviewer: M.Dont (Praha)

MSC:

31B30 Biharmonic and polyharmonic equations and functions in higher dimensions
35J40 Boundary value problems for higher-order elliptic equations
PDFBibTeX XMLCite
Full Text: EuDML