Radially symmetric solutions to the Hènon-Lane-Emden system on the critical hyperbola

Abstract

We use variational methods to study the existence of nontrivial and radially symmetric solutions to the Hènon-Lane-Emden system with weights, when the exponents involved lie on the "critical hyperbola". We also discuss qualitative properties of solutions and nonexistence results.

19 pages

References in corpus (1)

• Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials

Cited by in corpus (2)

• Weighted Sobolev spaces of radially symmetric functions
• The non-anticoercive Hénon-Lane-Emden system