Fast diffusion equations on riemannian manifolds
Küçük Resim Yok
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
KHAYYAM PUBL CO INC
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we first study the nonexistence of positive solutions of the following nonlinear parabolic problem {partial derivative u/partial derivative t = Delta g(u(m)) + V(x)u(m) + lambda u(q) in Omega x (0, T), u(x, 0) = u(0)(x) >= 0 in Omega, u(x, t) = 0 on partial derivative Omega x (0, T). Here, Omega is a bounded domain with smooth boundary in a complete non-compact Riemannian manifold M, 0 < m < 1, V is an element of L-loc(1)(Omega), q > 0 and A E R. Next, we prove some Hardy and Leray type inequalities with remainders on a Riemannian Manifold M. Furthermore, we obtain explicit (sometimes optimal) constants for these inequalities and present several nonexistence results with help of Hardy and Leray type inequalities on the hyperbolic space H-n.
Açıklama
kombe, ismail/0000-0002-7217-1023
WOS:000572161900004
WOS:000572161900004
Anahtar Kelimeler
Kaynak
DIFFERENTIAL AND INTEGRAL EQUATIONS
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
33
Sayı
09.Oct
