The solution of the first boundary-value problem for self-adjoint elliptic equations in the case of an unbounded region

L. D. Kudryavtsev

Izvestiya. Mathematics , Tome 1 (1967) no. 5, pp. 1131-1151.

Résumé

In this paper we solve the first boundary-value problem for a self-adjoint second order elliptic equation in the case of an unbounded region in a certain class of functions, which is defined in a natural way by the equation itself. Existence and uniqueness theorem are proved by means of a variational method.

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