Asymptotic Behavior of Positive Solutions of a Semilinear Dirichlet Problem outside the Unit Ball

نویسندگان

  • HABIB MÂAGLI
  • SAMEH TURKI
چکیده

In this article, we are concerned with the existence, uniqueness and asymptotic behavior of a positive classical solution to the semilinear boundaryvalue problem −∆u = a(x)u in D, lim |x|→1 u(x) = lim |x|→∞ u(x) = 0. Here D is the complement of the closed unit ball of Rn (n ≥ 3), σ < 1 and the function a is a nonnegative function in C loc(D), 0 < γ < 1, satisfying some appropriate assumptions related to Karamata regular variation theory.

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تاریخ انتشار 2013