On the nonexistence of positive solutions to doubly nonlinear equations for baouendi-grushin operators
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The purpose of this paper is to study the nonexistence of positive solutions of the doubly nonlinear equation -u t = r (um-1jrujp-2ru) + V um+p-2 in (0; T); u(x; 0) = u0(x) 0 in ; u(x; t) = 0 on (0; T); where r = (rx; jxj2ry), x 2 Rd; y 2 Rk, > 0, is a metric ball in RN, V 2 L1 loc(), m 2 R, 1 < p < d + k and m + p - 2 > 0. The exponents q are found and the nonexistence results are proved for q m + p < 3.
Açıklama
Anahtar Kelimeler
Baouendi-Grushin vector fields, Hardy inequality, Nonlinear parabolic equations, Positive solutions
Kaynak
Discrete and Continuous Dynamical Systems- Series A
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
33
Sayı
11.Dec
