Range of the gradient of a smooth bump function in finite dimensions

Ludovic Rifford (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

This paper proves the semi-closedness of the range of the gradient for sufficiently smooth bumps in the Euclidean space.

Domaines: Mathématiques générales [math.GM]

Ludovic Rifford. Range of the gradient of a smooth bump function in finite dimensions. Proceedings of the American Mathematical Society, 2003, 131 (10), pp.3063-3066. ⟨hal-00769002⟩