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Reaction-diffusion problems in cylinders with no invariance by translation. II: Monotone perturbations. (English) Zbl 0902.35036
[For Part I, cf. ibid. No. 4, 457-498 (1997; Zbl 0889.35035).]
The goal of this paper is to investigate the existence and “a priori” properties of solutions of the reaction-diffusion equations in an infinite cylinder \(\Sigma= \mathbb{R}\times\omega\), where \(\omega\) is a bounded domain in \(\mathbb{R}^{N-1}\) with smooth boundary.
Reviewer: V.A.Sava (Iaşi)

35J60 Nonlinear elliptic equations
35K57 Reaction-diffusion equations
35P30 Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs
76Z05 Physiological flows
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