The existence of patterns on surfaces of revolution without boundary

DOI10.1016/J.NA.2012.09.003zbMath1255.35040OpenAlexW2030072159MaRDI QIDQ690942

Fabio Punzo

Publication date: 29 November 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.09.003

zbMATH Keywords

Laplace-Beltrami operatorstable solutionssemilinear parabolic equations on Riemannian manifolds

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Semilinear parabolic equations (35K58) PDEs on manifolds (35R01) Pattern formations in context of PDEs (35B36)

Related Items (8)

The Destabilizing Effect of Unbalanced Reaction as Diffusivity Decreases on Reaction-Diffusion Equations in Boundaryless Surfaces ⋮ On the Stability of Solutions of Semilinear Elliptic Equations with Robin Boundary Conditions on Riemannian Manifolds ⋮ Patterns with prescribed numbers of critical points on topological tori ⋮ Symmetry properties of stable solutions of semilinear elliptic equations in unbounded domains ⋮ Non-existence of patterns and gradient estimates in semilinear elliptic equations with Neumann boundary conditions ⋮ A construction of patterns with many critical points on topological tori ⋮ Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases ⋮ Patterns in a balanced bistable equation with heterogeneous environments on surfaces of revolution

This page was built for publication: The existence of patterns on surfaces of revolution without boundary