The Applications of Perturbations on Accretive Mappings to Nonlinear Elliptic Systems Related to Generalized (p,q)-Laplacian
Received:September 19, 2008  Revised:May 14, 2009
Key Words: accretive mapping   generalized $(p,q)$-Laplacian   nonlinear elliptic systems.  
Fund Project:Supported by the National Nature Science Foundation of China (Grant No.10771050), the Natural Science Foundation of Hebei Province (Grant No.A2010001482) and the Project of Science and Research of Hebei Education Department (Grant No.2010125).
Author NameAffiliation
Li WEI School of Mathematics and Statistics, Hebei University of Economics and Business, Hebei 050061, P. R. China 
Hai Yun ZHOU Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Hebei 050003, P. R. China 
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Abstract:
      Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present some abstract results for the existence of the solutions of nonlinear Neumann elliptic systems which is related to the so-called generalized $(p,q)$-Laplacian in this paper. The systems discussed in this paper and the method used extend and complement some of the previous work.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.05.020
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