Non-existence results for p-laplacian parabolic problems on the heisenberg group Hn

Goldstein G. R., Goldstein J. A., KÖMBE İ.

Discrete and Continuous Dynamical Systems - Series S, cilt.16, sa.9, ss.2354-2363, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 9
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3934/dcdss.2023135
  • Dergi Adı: Discrete and Continuous Dynamical Systems - Series S
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.2354-2363
  • Anahtar Kelimeler: Critical exponents, Hardy-Leray inequalities, Nonexistence., Positive solutions
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

Let Hn = Cn R be the 2n+1-dimensional Heisenberg group and be a bounded domain with smooth boundary @ in Hn. This paper deals with the nonexistence of positive solutions to the problem(Formula Presented) where Lu is the subelliptic p-Laplacian operator on the Heisenberg group Hn, p > 1, 2 R, s > 0, V 2 L1 loc(), 2 R and q > 0. We also demonstrate several applications of our main result using concrete potentials with sharp constants derived from Hardy and Leray type inequalities.