STRUCTURE OF NONNEGATIVE NONTRIVIAL AND POSITIVE SOLUTIONS OF SINGULARLY PERTURBED p-LAPLACE EQUATIONS  

作　　者：张正策 李开泰 LINZong-chi 

机构地区：[1]CollegeofSciences,Xi＇anJiaotongUniversity,Xi＇an710049,P.R.China [2]OriginalMemberofEditorialCommittee,AMM

出　　处：《Applied Mathematics and Mechanics(English Edition)》2004年第8期929-936,共8页应用数学和力学（英文版）

基　　金：theNationalKeyBasicResearchDevelopmentProjectProgramofChina(1 9990 3 2 80 1 ) ;theNationalNaturalScienceFoundationofChina (1 0 3 71 0 95)

摘　　要：Structure of nonnegative nontrivial and positive solutions was precisely studied for some singularly perturbed p-Laplace equations. By virtue of sub- and supersolution method, it is shown that there are many nonnegative nontrivial spike-layer solutions and positive intermediate spike-layer solutions. Moreover, the upper and lower bound on the measure of each spike-layer were estimated when the parameter is sufficiently small.Structure of nonnegative nontrivial and positive solutions was precisely studied for some singularly perturbed p-Laplace equations. By virtue of sub- and supersolution method, it is shown that there are many nonnegative nontrivial spike-layer solutions and positive intermediate spike-layer solutions. Moreover, the upper and lower bound on the measure of each spike-layer were estimated when the parameter is sufficiently small.

关 键 词：p-Laplace equation nonnegative nontrivial solution positive solution spike-layer solution sub- and supersolution 

分 类 号：O175.25[理学—数学]