Generic properties of critical points of the boundary mean curvature
Keywords
Mean curvature, non degenerate critical points, generic propertyAbstract
Given a bounded domain $\Omega\subset\mathbb{R}^N$ of class $C^k$ with $k\ge3$, we prove that for a generic deformation $I+\psi$, with $\psi$ small enough, all the critical points of the mean curvature of the boundary of the domain $(I+\psi)\Omega$ are non degenerate.Downloads
Published
2013-04-22
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MICHELETTI, Anna Maria and PISTOIA, Angela. Generic properties of critical points of the boundary mean curvature. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 41, no. 2, pp. 323 - 334. [Accessed 29 March 2024].
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