On trichotomy of positive singular solutions associated with the Hardy-Sobolev operator
Nirmalendu Chaudhuri, Florica C. Cirstea
In this paper we consider a class of semilinear elliptic equations in a punctured domain and analyse the influence of the Hardy potential on the behaviour of positive solutions near zero. We reveal a trichotomy of positive singular solutions for superlinear nonlinearities that are subcritical, where the fundamental solutions associated with the Hardy-Sobolev operator play a crucial role.Keywords: semilinear elliptic equations, isolated singularities, Hardy-Sobolev operator, Hardy inequality.
AMS Subject Classification: Primary 35J60; secondary 35B40.
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