LOGISTIC TYPE EQUATIONS ON ℝN BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
- 24 August 2001
- journal article
- research article
- Published by Wiley in Journal of the London Mathematical Society
- Vol. 64 (1) , 107-124
- https://doi.org/10.1017/s0024610701002289
Abstract
We study, on the entire space ℝN(N [ges ] 1), the diffusive logistic equation and its generalizations. Here p > 1 is a constant. Problem (1.1) plays an important role in understanding various population models and some other problems in applied mathematics. When λ = 1 and p = 2, it is also known as the Fisher equation and KPP equation, due to the pioneering works of Fisher [8] and Kolmogoroff, Petrovsky and Piscounoff [18].Keywords
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