%0 Journal Article %T The homotopy classification and the index of boundary value problems for general elliptic operators %A A. Yu. Savin %A B. Yu. Sternin %A B. -W. Schulze %J Mathematics %D 1999 %I arXiv %X We give the homotopy classification and compute the index of boundary value problems for elliptic equations. The classical case of operators that satisfy the Atiyah-Bott condition is studied first. We also consider the general case of boundary value problems for operators that do not necessarily satisfy the Atiyah-Bott condition. %U http://arxiv.org/abs/math/9911055v1