Existence of Positive Solution for a Singular Elliptic Problem with an Asymptotically Linear Nonlinearity

被引：3

作者：

Alves, Ricardo Lima ^{[1
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 01期

关键词：

Strong singularity; nondifferentiable functional; global minima; regularity; bifurcation from infinity; 35B09; 35B32; 35B33; 35B38; 35B65; VARIATIONAL APPROACH; EQUATIONS; CONCAVE;

D O I：

10.1007/s00009-020-01646-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of positive solutions for a singular elliptic problem involving an asymptotically linear nonlinearity and depending on one positive parameter. Using variational methods, together with comparison techniques, we show the existence, uniqueness, non-existence, and regularity of the solutions. We also obtain a bifurcation-type result.

引用

页数：18

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