Size of characteristic sets and functions with prescribed gradient

作者: Zoltán M. Balogh

DOI: 10.1515/CRLL.2003.094

关键词:

摘要:

参考文章(27)
Graeme Cohen, On a conjecture of Mąkowski and Schinzel Colloquium Mathematicum. ,vol. 74, pp. 1- 8 ,(1997) , 10.4064/CM-74-1-1-8
Mikhael Gromov, Carnot-Carathéodory spaces seen from within Birkhäuser Basel. pp. 79- 323 ,(1996) , 10.1007/978-3-0348-9210-0_2
Harold R. Parks, Steven G. Krantz, The geometry of domains in space ,(1999)
Alec Norton, A critical set with nonnull image has large Hausdorff dimension Transactions of the American Mathematical Society. ,vol. 296, pp. 367- 376 ,(1986) , 10.1090/S0002-9947-1986-0837817-2
B. Franchi, S. Gallot, R. L. Wheeden, Sobolev and isoperimetric inequalities for degenerate metrics Mathematische Annalen. ,vol. 300, pp. 557- 571 ,(1994) , 10.1007/BF01450501
S. M. Bates, On the image size of singular maps II Duke Mathematical Journal. ,vol. 68, pp. 463- 476 ,(1992) , 10.1215/S0012-7094-92-06818-9
André Bellaïche, None, The tangent space in sub-Riemannian geometry Journal of Mathematical Sciences. ,vol. 83, pp. 461- 476 ,(1994) , 10.1007/BF02434977
Nicola Garofalo, Duy-Minh Nhieu, ISOPERIMETRIC AND SOBOLEV INEQUALITIES FOR CARNOT-CARATHEODORY SPACES AND THE EXISTENCE OF MINIMAL SURFACES Communications on Pure and Applied Mathematics. ,vol. 49, pp. 1081- 1144 ,(1996) , 10.1002/(SICI)1097-0312(199610)49:10<1081::AID-CPA3>3.0.CO;2-A
Hassler Whitney, A function not constant on a connected set of critical points Duke Mathematical Journal. ,vol. 1, pp. 514- 517 ,(1935) , 10.1215/S0012-7094-35-00138-7