Darboux property of G\^ateaux derivatives of functions on $\Bbb R^n$

Abstract

We construct a continuous, G\^{a}teaux differentiabl function on $R^3$ for which the range of its gradient mapping is disconnected.

Keywords

• Darboux
• property
• G\^ateaux
• derivatives
• functions
• $\Bbb
• R^n$