Non-existence results for p-laplacian parabolic problems on the heisenberg group Hn
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Mathematical Sciences
Erişim Hakkı
info:eu-repo/semantics/restrictedAccess
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.
Açıklama
Anahtar Kelimeler
Critical exponents; Hardy-Leray inequalities; Nonexistence.; Positive solutions
Kaynak
Discrete and Continuous Dynamical Systems - Series S
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
16
Sayı
9
