A Remark on Ground State Solutions for Lane-emden-fowler Equations with a Convection Term
نویسندگان
چکیده
Via a sub-supersolution method and a perturbation argument, we study the Lane-Emden-Fowler equation −∆u = p(x)[g(u) + f(u) + |∇u| ] in RN (N ≥ 3), where 0 < q < 1, p is a positive weight such that R∞ 0 rφ(r)dr < ∞, where φ(r) = max|x|=r p(x), r ≥ 0. Under the hypotheses that both g and f are sublinear, which include no monotonicity on the functions g(u), f(u), g(u)/u and f(u)/u, we show the existence of ground state solutions.
منابع مشابه
1 3 O ct 2 00 6 Ground state solutions for the singular Lane - Emden - Fowler equation with sublinear convection term
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