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 R(3), necessary and sufficient conditions for existence of patterns are given. (C) 2011 Elsevier Inc. All rights reserved.
Existence and nonexistence of patterns on Riemannian manifolds / Catherine, Bandle; Punzo, Fabio; Tesei, Alberto. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 387:1(2012), pp. 33-47. [10.1016/j.jmaa.2011.08.060]
Existence and nonexistence of patterns on Riemannian manifolds
PUNZO, FABIO;TESEI, Alberto
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 R(3), necessary and sufficient conditions for existence of patterns are given. (C) 2011 Elsevier Inc. All rights reserved.File allegati a questo prodotto
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