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The existence and uniqueness of the decaying positive entire solutions for a class of semilinear elliptic equations |
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| Authors: | Tian Genbao |
| Affiliation: | Shanghai Institute of Railway Technology, Shanghai 200333, P. R. China |
| Abstract: | This paper first proves the following equations△u-m2u+f(x,u)=0, x(Rn,n≥3 m>0 existence of decaying positive entire solution, then emphatically, proves this solution’suniqueness. |
| Keywords: | weak supersolution weak subsolution monotone convergencetheorem nonincreasing nondecreasing locally Hldercontinuous locally Lipschitz continuous strong maximumprinciple |
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