Abstract:
The statement of the problem on the determination of eigen- and adjoint-functions for Laplace operator in $s$-dimensional unit ball with displacement in derivatives is given. For $s=2$ the conditions are obtained for the existence of adjoint functions of the not higher than three order and their computation is made. The case of arbitrary $s$ is the subject of future work.
Keywords:Laplace operator, unit ball in $R^s$, eigenvalues, eigen and adjoint functions for $s=2$.