Semistable extremal ground states for nonlinear evolution equations in unbounded domains

Aníbal Rodríguez-Bernal*, Alejandro Vidal-López

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


In this paper we show that dissipative reaction-diffusion equations in unbounded domains posses extremal semistable ground states equilibria, which bound asymptotically the global dynamics. Uniqueness of such positive ground state and their approximation by extremal equilibria in bounded domains is also studied. The results are then applied to the important case of logistic equations.

Original languageEnglish
Pages (from-to)675-694
Number of pages20
JournalJournal of Mathematical Analysis and Applications
Issue number1
Publication statusPublished - 1 Feb 2008
Externally publishedYes


  • Attractors
  • Extremal ground state
  • Logistic equation
  • Reaction-diffusion
  • Unbounded domains

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