Notes on asymptotic behavior of radial solutions for some weighted elliptic equations on the annulus
Futoshi Takahashi
TL;DR
This paper investigates the long-term behavior of radial solutions to certain weighted elliptic equations with nonlinearities on an annulus, providing insights into their asymptotic properties.
Contribution
It offers new analysis of asymptotic behavior for solutions to weighted elliptic equations with nonlinearities on annular domains.
Findings
Characterization of asymptotic limits of solutions
Conditions for solution stability
Behavior differences between power and exponential nonlinearities
Abstract
In this paper, we study the asymptotic behavior of radial solutions for several weighted elliptic equations with power type or exponential type nonlinearities on an annulus.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems · Differential Equations and Numerical Methods