The Singular Perturbation Problem for a Class of Generalized Logistic Equations Under Non-classical Mixed Boundary Conditions

The Singular Perturbation Problem for a Class of Generalized Logistic Equations Under Non-classical Mixed Boundary Conditions

This paper studies a singular perturbation result for a class of generalized diffusive logistic equations, d⁢ℒ⁢u=u⁢h⁢(u,x){d\mathcal{L}u=uh(u,x)}, under non-classical mixed boundary conditions, ℬ⁢u=0{\mathcal{B}u=0} on ∂⁡Ω{\partial\Omega}. Most of the precursors of this result dealt with Dirichlet b...

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Bibliographic Details
Main Authors: Fernández-Rincón Sergio, López-Gómez Julián
Format: Article
Language:English
Published: De Gruyter 2019-02-01
Series:Advanced Nonlinear Studies
Subjects:
singular perturbation
positive solution
generalized logistic equation
non-classical mixed boundary conditions
conormal vector field
conormal projection
conormal distance
regularity
35b25
35b09
35j25
35q92
Online Access:https://doi.org/10.1515/ans-2018-2034

Internet

https://doi.org/10.1515/ans-2018-2034

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