Abstract
For an elliptic 2lth-order equation with constant (and only leading) real coefficients, we consider the boundary value problem in which the (kj − 1)st normal derivatives, j = 1,..., l, are specified, where 1 ≤ k1 < ... < kl. If kj = j, then it becomes the Dirichlet problem; and if kj = j + 1, then it becomes the Neumann problem. We obtain a sufficient condition for this problem to be Fredholm and present a formula for the index of the problem.
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