ASYMPTOTIC BEHAVIOR NEAR THE BOUNDARY OF A LARGE SOLUTION TO SEMILINEAR POISSON EQUATION WITH DOUBLE-POWER NONLINEARITY

被引:0
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作者
Kazuhiro TAKIMOTO
Yuxiao ZHANG
机构
[1] DepartmentofMathematics,GraduateSchoolofAdvancedScienceandTechnology,HiroshimaUniversity
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中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
We deal with a large solution to the semilinear Poisson equation with doublepower nonlinearity Δu=up+αuq in a bounded smooth domain D ■ R~n,where p> 1,-1 <q <p and α ∈ R.We obtain the asymptotic behavior of a solution u near the boundary ?D up to the third or higher term.
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页码:2083 / 2098
页数:16
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