Nonexistence of Positive Solutions to a Semilinear Elliptic System and Blow-up Estimates for a Reaction-Diffusion System
β Scribed by Sining Zheng
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 119 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract In this paper, some sufficient conditions under which the quasilinear elliptic system βdiv(β£β__~u~__β£__^pβ2^__β__~u~__) = __u____v__, βdiv(β£β__~u~__β£__^qβ2^__β__~u~__) = __u____v__ in β^N^(__N__β₯3) has no radially symmetric positive solution is derived. Then by using this nonβexistence
We consider the nonlinear reaction-diffusion system existence and finite time blow-up coexist.
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
## Communicated by Marek Fila We consider the blow-up of solutions for a semilinear reaction-diffusion equation with exponential reaction term. It is known that certain solutions that can be continued beyond the blow-up time possess a non-constant self-similar blowup profile. Our aim is to find th