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共振条件下p-Laplace型方程多点边值问题的可解性
引用本文:张祖峰,宁群. 共振条件下p-Laplace型方程多点边值问题的可解性[J]. 数学杂志, 2011, 31(1): 11-18
作者姓名:张祖峰  宁群
作者单位: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
基金项目:Supported by the Master’s research Fund of Suzhou University (2008yss19); Anhui Province College Excellent Young Talents Fund Project (2010SQRL195)
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.

关 键 词:p-Laplace型方程  多点边值问题  共振  度理论

SOLVABILITY OF p-LAPLACE-LIKE EQUATIONS SUBJECT TO MULTI-POINT BOUNDARY VALUE PROBLEMS AT RESONANCE
ZHANG Zu-feng,NING Qun. SOLVABILITY OF p-LAPLACE-LIKE EQUATIONS SUBJECT TO MULTI-POINT BOUNDARY VALUE PROBLEMS AT RESONANCE[J]. Journal of Mathematics, 2011, 31(1): 11-18
Authors:ZHANG Zu-feng  NING Qun
Affiliation: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)
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.
Keywords:p-Laplace-like equation  multi-point boundary value  resonance  degree theory
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