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

作　　者：Kazuhiro TAKIMOTO Yuxiao ZHANG 

机构地区：[1]Department of Mathematics,Graduate School of Advanced Science and Technology,Hiroshima University,1-3-1 Kagamiyama,Higashi-Hiroshima city,Hiroshima 739-8526,Japan

出　　处：《Acta Mathematica Scientia》2024年第6期2083-2098,共16页数学物理学报（B辑英文版）

基　　金：supported by the JSPS KAKENHI(JP22K03386);supported by the JST SPRING(JPMJSP2132)。

摘　　要：We deal with a large solution to the semilinear Poisson equation with doublepower nonlinearityΔ^(u)=u^(p)+αu^(q)in a bounded smooth domain D■R^(n),where p>1,-1<q<p andα∈R.We obtain the asymptotic behavior of a solution u near the boundary OD up to the third or higher term.

关 键 词：large solution semilinear Poisson equation double-power nonlinearity ASYMPTOTICBEHAVIOR 

分 类 号：O175[理学—数学]