Existence of positive solutions to semilinear elliptic problems with nonlinear boundary condition

被引：0
作者：
Kim, Chan-Gyun [1 ]
Lee, Eun Kyoung [1 ]
机构：
[1] Pusan Natl Univ, Dept Math Educ, Busan 609735, South Korea
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2018年 / 128卷 / 05期
基金：
新加坡国家研究基金会;
关键词：
Semilinear elliptic problem; nonlinear boundary condition; perturbed problem; positive solution; multiplicity; DIFFUSIVE LOGISTIC EQUATIONS; BIFURCATION;
D O I：
10.1007/s12044-018-0434-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a semilinear elliptic equation with a nonlinear boundary condition and a perturbation in the reaction term is studied. The existence of a positive solution and another non- zero solution to the problem is proved when |.| is small enough without any specific assumptions on the perturbation term. Moreover, it is shown that the non- zero solution becomes a positive one for small. > 0 under suitable assumptions on the perturbation term.
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页数：8
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