On the radial solutions for some nonlinear initial value problems

  • Authors:
  • Gabriella Bognar;Erika Rozgonyi

  • Affiliations:
  • University of Miskolc, Department of Analysis, Miskolc-Egyetemvaros, Hungary;University of Miskolc, Department of Analysis, Miskolc-Egyetemvaros, Hungary

  • Venue:
  • MATH'07 Proceedings of the 12th WSEAS International Conference on Applied Mathematics
  • Year:
  • 2007

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Abstract

We consider the positive radial symmetric solutions to the nonlinear problem div (|∇u|p-2∇u) + f(u) = 0 in BR = {x ∈ Rn: |x| R}, 1 p n, where f(u) = uγ + uδ for u ≥ 0: For some special values of parameters γ and δ we give the positive entire solution. We examine the existence of local solutions and give a method for its determination. Comparing the local and entire solution, the error can be investigated.