A Lane-Emden-Fowler type problem with singular nonlinearity
نویسندگان
چکیده
منابع مشابه
Solving Singular Initial Value Problems of Emden-Fowler and Lane-Emden Type
In this paper, Singular initial value problems are investigated by using Taylor series method. The solutions are constructed in the form of a convergent series. The method is applied to Emden-Fowler and Lane-Emden equations.
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We establish some bifurcation results for the boundary value problem −∆u = g(u) + λ|∇u| + μf(x, u) in Ω, u > 0 in Ω, u = 0 on ∂Ω, where Ω is a smooth bounded domain in R , λ, μ ≥ 0, 0 < p ≤ 2, f is nondecreasing with respect to the second variable, and g is unbounded around the origin. The asymptotic behaviour of the solution around the bifurcation point is also established, provided g(u) behav...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2009
ISSN: 2156-2261
DOI: 10.1215/kjm/1256219159