TITLE

POSITIVE SOLUTIONS FOR SEMI-LINEAR ELLIPTIC EQUATIONS IN EXTERIOR DOMAINS

AUTHOR(S)
MÂAGLI, HABIB; TURKI, SAMEH; ZEDDINI, NOUREDDINE
PUB. DATE
April 2009
SOURCE
Electronic Journal of Differential Equations;2009, Vol. 2009, Special section p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We prove the existence of a solution, decaying to zero at infinity, for the second order differential equation 1/A(t)(A(t)u'(t))' + Φ(t) + f(t, u(t)) = 0, t ∈ (a,∞). Then we give a simple proof, under some sufficient conditions which unify and generalize most of those given in the bibliography, for the existence of a positive solution for the semilinear second order elliptic equation Δu + φ(x, u) + g(|x|)x.∇u = 0, in an exterior domain of the Euclidean space ℝn, n ≥ 3.
ACCESSION #
55419018

 

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