Abstract
We use the mountain pass theorem to study the existence and multiplicity of positive solutions of the generalisation of the well-known logistic equation -?u=?g(x)u(x)(1-u(x)) with Dirichlet boundary conditions to the case where g changes sign. © 2005 Elsevier Ltd. All rights reserved.
Original language | English |
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Pages (from-to) | 409-416 |
Number of pages | 8 |
Journal | Nonlinear Analysis: Theory, Methods and Applications |
Volume | 64 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Feb 2006 |
Keywords
- Indefinite weight function
- Logistic equation
- Mountain pass theorem