Abstract
Let G be a bounded domain in E n .Consider the following quasi-linear elliptic equation Although the boundedness of generalized solutions of the equation is proved for very general structural conditions, it does not supply a priori estimate for maximum modulus of solutions. In this paper an estimate to the maximum modulus is made firstly for a special case of quasi-linear elliptic equations, i.e. the $$\overrightarrow A $$ and B satisfy the following structural conditions:
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