A remark on a comparison theorem

A remark on a comparison theorem

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 sym...

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Veröffentlicht in:Communications in partial differential equations 1991-01, Vol.16 (8-9), p.1255-1262
Hauptverfasser: Ferone, Vincenzo, Posteraro, M. Rosaria
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical analysis
Mathematics
Partial differential equations
Sciences and techniques of general use
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Zusammenfassung: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.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605309108820798