Publication: Elliptic Eigenvalue Problems and Unbounded Continua of Positive Solutions of a Semilinear Elliptic Equation
Elliptic Eigenvalue Problems and Unbounded Continua of Positive Solutions of a Semilinear Elliptic Equation
Date
Date
Date
Citations
Koch-Medina, P., Fraile, J. M., López-Gómez, J., & Merino, S. (1996). Elliptic Eigenvalue Problems and Unbounded Continua of Positive Solutions of a Semilinear Elliptic Equation. Journal of Differential Equations, 127, 295–319. https://doi.org/10.1006/jdeq.1996.0071
Abstract
Abstract
Abstract
We derive a result on the limit of certain sequences of principal eigenvalues associated with some elliptic eigenvalue problems. This result is then used to give a complete description of the global structure of the curves of positive steady states of a parameter dependent diffusive version of the classical logistic equation. In particular, we characterize the bifurcation values from infinity to positive steady states. The stability of the positive steady states as well as the asymptotic behaviour of positive solutions is also discuss
Additional indexing
Creators (Authors)
- Fraile, José M
- López-Gómez, Julián
- Merino, Sandro
Volume
Volume
Volume
Number
Number
Number
Page range/Item number
Page range/Item number
Page range/Item number
Page end
Page end
Page end
Item Type
Item Type
Item Type
In collections
Scope
Scope
Scope
Language
Language
Language
Publication date
Publication date
Publication date
Date available
Date available
Date available
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
OA Status
OA Status
OA Status
Free Access at
Free Access at
Free Access at
Publisher DOI
Other Identification Number
Other Identification Number
Other Identification Number
Official URL
Official URL
Official URL
Citations
Koch-Medina, P., Fraile, J. M., López-Gómez, J., & Merino, S. (1996). Elliptic Eigenvalue Problems and Unbounded Continua of Positive Solutions of a Semilinear Elliptic Equation. Journal of Differential Equations, 127, 295–319. https://doi.org/10.1006/jdeq.1996.0071
