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RAO Ruo-feng1, WAN Dong-mei2
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Abstract: In this paper, a necessary condition on the existence of a non-trivia l solution for the semi-linear elliptic equation (-Δu=λ1u+|u|2 *-2u) with zero boundary, the critical Sobolev exponents and the eigenvablue (λ1) is given, so is obtained the correspondent co nclusion in weighted condition.
Key words: semi-linear elliptic equation, critical Sobolev exponent, first eigenvalue, weight function
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RAO Ruo-feng, WAN Dong-mei. A Note on Semi-linear Elliptic Equationswith Critical Sobolev Exponents[J].J4, 2003, 41(02): 173-174.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2003/V41/I02/173
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