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L∞ ESTIMATE FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN RN
李工宝
数学物理学报(英文版). 1994 (1):
75-81.
In this paper, we get the L∞ estimate for the solutions of the following elliptic equation in RN with limiting Sobolev exponent and inhomogeneous term -∑i=1N(∂)/∂xi(|▽u|p-2(∂u)/∂xi)+c(x)|u|p-2u=f(x,u)+g(x),u∈RN,u∈W1,p(RN),N > p > 1 and we show that any solution u of the above equation satisfies ||u||∞(|x| ≥ R) ≤ C||u||pτ·(|x| ≥ (1)/2R).
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