The non-anticoercive H\'enon-Lane-Emden system
Andrea Carioli, Roberta Musina
TL;DR
This paper investigates the existence of a principal eigenvalue for a specific nonlinear PDE system using variational methods, providing detailed analysis especially in the linear case.
Contribution
It introduces a variational approach to analyze the non-anticoercive Hénon-Lane-Emden system and offers detailed insights into the linear case.
Findings
Existence of a principal eigenvalue established
Variational methods effectively applied to the system
Detailed analysis provided for the linear case
Abstract
We use variational methods to study the existence of a principal eigenvalue for the non-anticoercive H\'enon-Lane-Emden system on a bounded domain. Then we provide a detailed insight into the problem in the linear case.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Numerical methods in inverse problems