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On Multiple Solutions of Quasilinear Equations Involving the Critical Sobolev Exponent

✍ Scribed by Yisheng Huang


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
139 KB
Volume
231
Category
Article
ISSN
0022-247X

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Critical Exponents for the Blowup of Sol
✍ Noriko Mizoguchi; Eiji Yanagida πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 353 KB

The blowup of solutions of the Cauchy problem { u t =u xx + |u| p&1 u u(x, 0)=u 0 (x) in R\\_(0, ), in R is studied. Let 4 k be the set of functions on R which change sign k times. It is shown that for p k =1+2Γ‚(k+1), k=0, 1, 2, ... , any solution with u 0 # 4 k blows up in finite time if 1 p k . T