Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (4): 1174-1194.doi: 10.1016/S0252-9602(18)30807-5

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SINGULAR LIMIT SOLUTIONS FOR 2-DIMENSIONAL ELLIPTIC SYSTEM WITH SUB-QUADRTATIC CONVECTION TERM

Nihed TRABELSI   

  1. Higher Institute of Medicals Technologies of Tunis, University of Tunis El Manar,;
    9 Street Dr. Zouhair Essafi 1006 Tunis, Tunisia
  • Received:2017-02-10 Revised:2018-04-23 Online:2018-08-25 Published:2018-08-25

Abstract:

The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system with sub-quadratic convection term and by using the nonlinear domain decomposition method.

Key words: Liouville type system, singular limit solution, nonlinear domain decomposition method

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