Mathematical Notes

, Volume 58, Issue 4, pp 1057–1065 | Cite as

Partial applicability of Moser's method to nonlinear elliptic systems

  • E. A. Kalita


We consider nonlinear elliptic systems of divergent-type second-order partial differential equations with solutionsuW p 1 . It is proved thatDuL q with someq ∈ (p; +∞) and it is explicitly shown howq depends on the ellipticity modulus of the system. Some conditions on the ellipticity modulus are obtained under which the solutions satisfy the Hölder conditions and the Liouville theorem holds.


Differential Equation Partial Differential Equation Elliptic System Liouville Theorem Nonlinear Elliptic System 
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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • E. A. Kalita
    • 1
  1. 1.Institute of Applied Mechanics and MathematicsUkrainian Academy of SciencesUkrain

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