Minimal energy solutions to the fractional Lane–Emden system: Existence and singularity formation

• Woocheol Choi ^[2] ; Seunghyeok Kim ^[1]
  1. [1] Hanyang University

     Hanyang University

     Corea del Sur

     
  2. [2] Incheon National Universit
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 3, 2019, págs. 731-766
• Idioma: inglés
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• Resumen

  • In this paper, we study asymptotic behavior of minimal energy solutions to the fractional Lane–Emden system in a smooth bounded domain Ω (−Δ)su=vp, (−Δ)sv=uq, u,v>0 in Ωandu=v=0 on ∂Ω f