Positive Solutions for a Class of Infinite Semipositone Problems

نویسندگان

  • Mythily Ramaswamy
  • Jinglong Ye
  • Jean Mawhin
  • R. Shivaji
چکیده

We analyze the positive solutions to the singular boundary value problem −∆u = λ[f(u)− 1/u];x ∈ Ω u = 0; x ∈ ∂Ω, where f is a C function in (0,∞), f(0) ≥ 0, f ′ > 0, lims→∞ f(s) s = 0, λ is a positive parameter, α ∈ (0, 1) and Ω is a bounded region in R, n ≥ 1 with C boundary for some γ ∈ (0, 1). In the case n = 1 we use the quadrature method and for n > 1 we use the method of sub-super solution to establish our results.

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تاریخ انتشار 2008