Ground state solutions for the singular Lane–Emden–Fowler equation with sublinear convection term
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چکیده
منابع مشابه
1 3 O ct 2 00 6 Ground state solutions for the singular Lane - Emden - Fowler equation with sublinear convection term
We are concerned with singular elliptic equations of the form −∆u = p(x)(g(u) + f (u) + |∇u| a) in R N (N ≥ 3), where p is a positive weight and 0 < a < 1. Under the hypothesis that f is a nondecreasing function with sublinear growth and g is decreasing and unbounded around the origin, we establish the existence of a ground state solution vanishing at infinity. Our arguments rely essentially on...
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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: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.09.074