On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball. (Russian, English) Zbl 1340.35078
Sib. Zh. Ind. Mat. 16, No. 4, 61-74 (2013); translation in J. Appl. Ind. Math. 8, No. 1, 63-75 (2014).
Summary: Some necessary and sufficient solvability conditions are obtained for the nonhomogeneous Neumann problem for a polyharmonic equation in the unit ball.
MSC:
35J91 | Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian |
35J40 | Boundary value problems for higher-order elliptic equations |