Doklady Mathematics

, Volume 74, Issue 2, pp 696–699 | Cite as

Necessary and sufficient conditions for a curve to be an image of the gradient of a C 1 function

  • M. V. Korobkov
  • E. Yu. Panov


Bounded Variation Neighborhood Versus Injective Mapping Differential Relation Arbitrary Continuous Mapping 
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  1. 1.
    M. Gromov, Partial Differential Relations (Springer-Verlag, Berlin, 1986; Mir, Moscow, 1990).zbMATHGoogle Scholar
  2. 2.
    M. V. Korobkov, Sib. Mat. Zh. 41(1), 118–133 (2000).zbMATHMathSciNetGoogle Scholar
  3. 3.
    M. V. Korobkov and E. Yu. Panov, Mat. Sb. 197(5), 99–124 (2006).Google Scholar
  4. 4.
    E. Yu. Panov, Candidate’s Dissertation in Mathematics and Physics (MGU, Moscow, 1991).Google Scholar
  5. 5.
    S. Müller, Variational Models for Microstructure and Phase Transitions (Max-Plank-Inst. Math. Naturwiss, Leipzig, 1998); Scholar
  6. 6.
    J. Malý, Real Anal. Exchange 22(1), 167–173 (1996/1997).zbMATHMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • M. V. Korobkov
    • 1
  • E. Yu. Panov
    • 2
  1. 1.Sobolev Institute of Mathematics, Siberian DivisionRussian Academy of SciencesNovosibirskRussia
  2. 2.Novgorod State UniversityNovgorod the GreatRussia

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