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.
Eigenvalue problem; Ricci curvature; Semilinear parabolic problem; Stable solutions; Surfaces of revolutions
Settore MAT/05 - Analisi Matematica
2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/229878
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