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

Published 5 Feb 2013 in math.AP and math.CA | (1302.0996v1)

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

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