| THE SINGULAR SECOND ORDER NONLINEAR EIGENVALUE PROBLEM WITH INFINITELY MANY POSITIVE SOLUTIONS |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | Dept. of Math.，Northwest Normal University，Lanzhou 730070 |
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| 摘 要： | 1 IntroductionIn this paper we consider positive solutions for second order non1ineareigenVaue problem of the fOrmwhere A > 0, a,P,7,b 2 0 and p = 7P a7 6cr > 0.Positive solutions of nonlinear eigenvalue problem such as (P) have beenstudied extensiveIy by many authors (see tll-61 and the references therein).However, to my best knowledge, less attention has been given to infinitelymany positive solutions. It must be pointed out that in all existing literaturesconcerning multiple positiv…
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THE SINGULAR SECOND ORDER NONLINEAR EIGENVALUE PROBLEM WITH INFINITELY MANY POSITIVE SOLUTIONS |
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| Yao Qingliu.THE SINGULAR SECOND ORDER NONLINEAR EIGENVALUE PROBLEM WITH INFINITELY MANY POSITIVE SOLUTIONS[J].微分方程年刊(英文版),2001(3). |
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| Authors: | Yao Qingliu |
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| Abstract: | In this paper we consider the existence of infinitely many positive solutions for second order nonlinear eigenvalue problem with singular coefficient function. By the use of Krasnosel'skii fixed point theorem of cone expansion-compression type we give several sufficient conditions. |
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| Keywords: | second order nonlinear eigenvalue problem infinitely many po-sitive solutions singular coefficient Krasnosel'skii fixed point theorem |
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