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Existence and a Priori Estimates for Positive Solutions of p-Laplace Systems

✍ Scribed by Céline Azizieh; Philippe Clément; Enzo Mitidieri

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
223 KB
Volume
184
Category
Article
ISSN
0022-0396

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✍ Yonggeng Gu; Mingxin Wang 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 453 KB

The system u 1t &2u 1 =u 1 u 2 &bu 1 , u 2t &2u 2 =au 1 in 0\_(0, T), where 0/R n is a smooth bounded domain, with homogeneous Dirichlet boundary conditions u 1 = u 2 =0 on 0\_(0, T) and initial conditions u 1 (x, 0), u 2 (x, 0), is studied. First, it is proved that there is at least one positive st