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- W2753564900 abstract "The first goal of this note is to study the Almansi property on an m-dimensional model in the sense of Greene and Wu and, more generally, in a Riemannian geometric setting. In particular, we shall prove that the only model on which the Almansi property is verified is the Euclidean space R^m. In the second part of the paper we shall study Almansi's property and biharmonicity for functions which depend on the distance from a given submanifold. Finally, in the last section we provide an extension to the semi-Euclidean case R^{p,q} which includes the proof of the classical Almansi property in R^m as a special instance." @default.
- W2753564900 created "2017-09-15" @default.
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- W2753564900 date "2017-08-30" @default.
- W2753564900 modified "2023-09-27" @default.
- W2753564900 title "A note on the Almansi property" @default.
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