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STRUCTURE OF NONNEGATIVE NONTRIVIAL AND POSITIVE SOLUTIONS OF SINGULARLY PERTURBED p-LAPLACE EQUATIONS 被引量:1
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作者 张正策 李开泰 LINZong-chi 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第8期929-936,共8页
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 nonnegati... 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. 展开更多
关键词 p-Laplace equation nonnegative nontrivial solution positive solution spike-layer solution sub- and supersolution
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