Doubly nonlinear parabolic equations with singular lower order term

KÖMBE İ.

Nonlinear Analysis, Theory, Methods and Applications, cilt.56, sa.2, ss.185-199, 2004 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.na.2003.09.006
  • Dergi Adı: Nonlinear Analysis, Theory, Methods and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.185-199
  • Anahtar Kelimeler: Doubly nonlinear parabolic equations, Hardy inequality, Positive solutions
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper we are concerned with positive solutions of the doubly nonlinear parabolic equation ut=div(um-1|∇u| p-2∇u)+Vum+p-2 in a cylinder Ω×(0,T), with initial condition u(·,0)=u0(·) ≥ 0 and vanishing on the parabolic boundary ∂Ω×(0,T). Here Ω⊂RN (resp. Hn) is a bounded domain with smooth boundary, VLloc1(Ω), mR, 10. The critical exponents q* are found and the nonexistence results are proved for q*≤m+p<3. © 2003 Elsevier Ltd. All rights reserved.