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Existence of Positive Solution for a Singular Elliptic Problem with an Asymptotically Linear Nonlinearity
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2020-11-15 , DOI: 10.1007/s00009-020-01646-9 Ricardo Lima Alves
中文翻译:
渐近线性非线性奇异椭圆问题正解的存在性
更新日期:2020-11-15
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2020-11-15 , DOI: 10.1007/s00009-020-01646-9 Ricardo Lima Alves
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.
中文翻译:
渐近线性非线性奇异椭圆问题正解的存在性
在本文中,我们考虑存在一个渐近线性非线性并且取决于一个正参数的奇异椭圆问题的正解的存在。使用变分方法以及比较技术,我们显示了解的存在性,唯一性,不存在性和规则性。我们还获得了分叉型的结果。