Three Positive Solutions of the One-Dimensional Generalized Hénon Equation

被引：0
作者：
Ryuji Kajikiya
机构：
[1] Saga University,Department of Mathematics, Faculty of Science and Engineering
来源：
Results in Mathematics | 2014年 / 66卷
关键词：
Primary 34B15; 34B18; 35J20; Hénon equation; Emden–Fowler equation; least energy solution; multiple positive solutions; variational method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the one-dimensional generalized Hénon equation under the Dirichlet boundary condition. It is known that there exist at least three positive solutions if the coefficient function is even. In this paper, without the assumption of evenness, we prove the existence of at least three positive solutions.
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页码：427 / 459
页数：32
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