共振条件下p-Laplace型方程多点边值问题的可解性(英文)  

SOLVABILITY OF p-LAPLACE-LIKE EQUATIONS SUBJECT TO MULTI-POINT BOUNDARY VALUE PROBLEMS AT RESONANCE

作　　者：张祖峰[1,2] 宁群[2] 

机构地区：[1]华中科技大学数学与统计学院,湖北武汉430074 [2]宿州学院数学系,安徽宿州234000

出　　处：《数学杂志》2011年第1期11-18,共8页Journal of Mathematics

基　　金：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.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 

分 类 号：O175.6[理学—数学]