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On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term

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  • Jin Zhang
  • Chengkui Zhong

Abstract

We consider the existence and properties of the global attractor for a class of reaction-diffusion equation , in ; , in . Under some suitable assumptions, we first prove that the problem has a global attractor in . Then, by using the -index theory, we verify that is an infinite dimensional set and it contains infinite distinct pairs of equilibrium points.

Suggested Citation

  • Jin Zhang & Chengkui Zhong, 2015. "On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-10, June.
    • Handle: RePEc:hin:jnddns:251614
    DOI: 10.1155/2015/251614
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