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Uniqueness of point rupture solutions to semilinear elliptic equations
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2021-02-01 , DOI: 10.1016/j.jmaa.2020.124604
Jaeduck Jang

Abstract We prove the uniqueness of positive solutions for { u ″ + α r u ′ + f ( u ) = 0 , r > 0 , lim r → 0 + ⁡ u = 0 , in the case where α ≥ 1 , f 0 and lim t → 0 + ⁡ − t f ′ ( t ) f ( t ) = p ∈ ( − 1 , ∞ ) .

中文翻译:

半线性椭圆方程点破裂解的唯一性

摘要 我们证明了 { u ″ + α ru ′ + f ( u ) = 0 , r > 0 , lim r → 0 + ⁡ u = 0 的正解的唯一性,在 α ≥ 1 , f 0 和 lim 的情况下t → 0 + ⁡ − tf ′ ( t ) f ( t ) = p ∈ ( − 1 , ∞ ) 。
更新日期:2021-02-01
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