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- W4300337046 abstract "We investigate existence and nonexistence of stationary stable nonconstant solutions, i.e. patterns, of semilinear parabolic problems in bounded domains of Riemannian manifolds satisfying Robin boundary conditions. These problems arise in several models in applications, in particular in Mathematical Biology. We point out the role both of the nonlinearity and of geometric objects such as the Ricci curvature of the manifold, the second fundamental form of the boundary of the domain and its mean curvature. Special attention is devoted to surfaces of revolution and to spherically symmetric manifolds, where we prove refined results." @default.
- W4300337046 created "2022-10-03" @default.
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- W4300337046 date "2015-07-24" @default.
- W4300337046 modified "2023-09-25" @default.
- W4300337046 title "On the stability of solutions of semilinear elliptic equations with Robin boundary conditions on Riemannian manifolds" @default.
- W4300337046 doi "https://doi.org/10.48550/arxiv.1507.06876" @default.
- W4300337046 hasPublicationYear "2015" @default.
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