The H\'enon-Lane-Emden system: a sharp nonexistence result
Andrea Carioli, Roberta Musina
TL;DR
This paper establishes a precise nonexistence result for very weak positive supersolutions of the Hénon-Lane-Emden system near the origin, clarifying conditions under which solutions cannot exist.
Contribution
It provides a sharp nonexistence theorem for weak supersolutions of the Hénon-Lane-Emden system close to the origin, advancing understanding of solution behavior.
Findings
Proves a sharp nonexistence result for supersolutions near the origin
Identifies conditions preventing the existence of solutions
Clarifies the behavior of solutions in singular neighborhoods
Abstract
We deal with very weak positive supersolutions to the H\'enon-Lane-Emden system on neighborhoods of the origin. In our main theorem we prove a sharp nonexistence result.
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