Properties of Positive Solutions for Non‐local Reaction–Diffusion Problems

  title={Properties of Positive Solutions for Non‐local Reaction–Diffusion Problems},
  author={M. Wang and Y. Wang},
  journal={Mathematical Methods in The Applied Sciences},
  • M. Wang, Y. Wang
  • Published 1996
  • Mathematics
  • Mathematical Methods in The Applied Sciences
  • In this paper we investigate the properties of positive solutions for three non-local reaction-diffusion problems. The conditions on the existence and non-existence of global positive solutions are given. Moreover, we prove that the blow-up set is the whole region when the non-linearity occurs in the equation. 
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