A Saint-Venant principle for a class of second-order elliptic boundary value problems

Abstract

In the present paper we wish to describe a Saint-Venant principle for a special class of boundary value problems for second order elliptic equations in two independent variables. While the context thus presented is much simpler than that encountered in most problems arising in elasticity, the methods developed here may be of some relevance in more involved situations. Moreover, our estimates are directly applicable to certain problems of physical interest, as we shall point out below; they may therefore be of some interest in themselves.

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