Abstract
The present paper deals with the homotopy classification problem of boundary value problems for elliptic operators. We start with classical boundary value problems. The ellipticity condition allows us to reduce classical problems to the Dirichlet problem for the Laplace operator and also to obtain the homotopy classification. We then study general case of operators, that do not necessarily satisfy the Atiyah-Bott condition. The boundary value problem reduces then to the so-called spectral boundary value problem.
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