An example of a <Emphasis Type="Italic">C</Emphasis><Superscript>1</Superscript>-smooth function whose gradient range is an arc with no tangent at any point期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

An example of a C1-smooth function whose gradient range is an arc with no tangent at any point

Authors:	M. V. Korobkov

Affiliation:	(1) Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract:	We construct an example of a C ¹-smooth real function of two variables whose gradient range is an arc with no tangent at any point.

Keywords:	C ¹-smooth function gradient range arc tangent
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