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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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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