The Hénon–Lane–Emden System: A Sharp Nonexistence Result

Abstract

We deal with very weak positive supersolutions to the Hénon–Lane–Emden system on neighborhoods of the origin. In our main theorem we prove a sharp nonexistence result.

Keywords

• weighted lane–emden system
• critical hyperbola
• distributional solutions
• 35b09
• 35b40
• 35b33