A remark on a comparison theorem

Vincenzo Ferone, Maria Rosaria Posteraro · Communications in Partial Differential Equations · 1991

A recent comparison result ([3]) allows to get pointwise estimates for the solution of the Dirichlet problem for linear second–order elliptic equations in terms of the solution of a suitable "symmetrized" problem. In this paper we prove that equality is achieved only in the spherically symmetric situation.

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