We study existence and nonexistence of patterns on Riemannian manifolds, depending on the Ricci curvature of the manifold and suitable assumptions on the boundary. In the case of surfaces of revolutions in R3, necessary and sufficient conditions for existence of patterns are given.
Existence and nonexistence of patterns on Riemannian manifolds / C. Bandle, F. Punzo, A. Tesei. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 387:1(2012), pp. 33-47. [10.1016/j.jmaa.2011.08.060]
Existence and nonexistence of patterns on Riemannian manifolds
F. Punzo;
2012
Abstract
We study existence and nonexistence of patterns on Riemannian manifolds, depending on the Ricci curvature of the manifold and suitable assumptions on the boundary. In the case of surfaces of revolutions in R3, necessary and sufficient conditions for existence of patterns are given.File in questo prodotto:
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