Geodesic
A boundary value problem for higher order elliptic equations in many connected domain on the plane
Vladikavkazskij matematičeskij žurnal, Tome 19 (2017) no. 3, pp. 51-58 
A. P. Soldatov. A boundary value problem for higher order elliptic equations in many connected domain on the plane. Vladikavkazskij matematičeskij žurnal, Tome 19 (2017) no. 3, pp. 51-58. http://geodesic.mathdoc.fr/item/VMJ_2017_19_3_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the elliptic equation of $2l$th order with constant (and leading) coefficients boundary value a problem with normal derivatives of the $(k_j-1)-$order, $j=1,\ldots,l$ considered. Here $1\le k_1 <\ldots< k_l\le 2l$. When $k_j=j$ it moves to the Dirichlet problem, and when $k_j = j + 1$ it corresponds to the Neumann problem. The sufficient condition of the Fredholm problem and index formula are given.

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