非线性一维p-Laplace方程的两正解存在定理(英文)  

Existence Theorems about Two Positive Solutions for a Nonlinear One-Dimensional p-Laplacian

作　　者：姚庆六[1] 

机构地区：[1]南京财经大学应用数学系,江苏南京210003

出　　处：《应用泛函分析学报》2005年第1期28-38,共11页Acta Analysis Functionalis Applicata

摘　　要：考察了一类非线性一维p-Laplace方程正解的多解性.主要结论表明,即使非线性项在0点和无穷远处不满足通常的增长条件,该方程仍可能有两个正解.The multiplicity of positive solutions is considered for a class of nonlinear one-dimensional p-Laplacian′s. Main results show that the equation may have two positive solutions even though the nonlinear term does not satisfy usual growth conditions at 0 and infinity.

关 键 词：非线性一维p-Laplace方程 边值问题 正解 多解性 

分 类 号：O175.8[理学—数学]