A Class of Nonlinear Quasi Variational Inequalities
  
Key Words: variational inequalities   pseudomonotone operators   quasilinear equations.  
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Author NameAffiliation
Liu Zhenhai Dept. of Math.
Changsha Univeristy of Electric Power
Hunan 410077 
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Abstract:
      In virtue of the theory of pseudomonotone operators, we deal with the following nonlinear quasi variational inequalities. Find x∈M, such that〈Ax,y-x〉+〈Gx,y-x〉≥〈f,y-x〉,?y∈M.As applications of the above theorem, boundary value problems for quasi linear elliptic equations have been solved.
Citation:
DOI:10.3770/j.issn:1000-341X.1997.04.029
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