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Qualitative Properties of Solutions of Semilinear Elliptic Systems

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      M. Calanchi; B. Ruf
    • الموضوع:
      2024
    • Collection:
      The University of Milan: Archivio Istituzionale della Ricerca (AIR)
    • نبذة مختصرة :
      The article explores the qualitative properties of solutions to ellip- tic equations and systems, focusing particularly on whether solutions retain the symmetry of their domains. According to the well-known Gidas-Ni-Nirenberg theorem, positive solutions to certain autonomous elliptic equations in radial domains are radial themselves. However, this symmetry can be broken in equations with power weight terms. The article also examines related results for systems of these weighted equations.
    • Relation:
      numberofpages:28; https://hdl.handle.net/2434/1102808; https://arxiv.org/abs/2409.16874
    • الدخول الالكتروني :
      https://hdl.handle.net/2434/1102808
      https://arxiv.org/abs/2409.16874
    • Rights:
      info:eu-repo/semantics/openAccess
    • الرقم المعرف:
      edsbas.6A979983