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| 共振条件下p-Laplace型方程多点边值问题的可解性 |
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张祖峰,宁群
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1. 华中科技大学数学与统计学院,湖北,武汉,430074;宿州学院数学系,安徽,宿州,234000
2. 宿州学院数学系,安徽,宿州,234000
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| 摘要: |
| 本文研究了共振条件下一类p-Laplace型方程边值问题的可解性.利用度理论,得到至少存在一个解的充分条件,并举例说明所得的结果是有效的.Abstract：In this article,we consider the solvability of a class of p-Laplace-like equation at resonance.By using degree theory,some results about the existence of at least one solution are obtained,and some examples are given to explain that the results are valid. |
| 关键词: p-Laplace型方程 多点边值问题 共振 度理论 |
| DOI： |
| 分类号:O175.6 |
| 基金项目:Supported by the Master’s research Fund of Suzhou University (2008yss19); Anhui Province College Excellent Young Talents Fund Project (2010SQRL195) |
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| SOLVABILITY OF p-LAPLACE-LIKE EQUATIONS SUBJECT TO MULTI-POINT BOUNDARY VALUE PROBLEMS AT RESONANCE |
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ZHANG Zu-feng,NING Qun
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ZHANG Zu-feng1,2,NING Qun2 (1. School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China) (2. Dept. of Math.,Suzhou College,Suzhou 234000,China)
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| Abstract: |
| In this article,we consider the solvability of a class of p-Laplace-like equation at resonance.By using degree theory,some results about the existence of at least one solution are obtained,and some examples are given to explain that the results are valid. |
| Key words: p-Laplace-like equation multi-point boundary value resonance degree theory |
