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# A result on Hardy-Sobolev critical elliptic equations with boundary singularities

• In this note, a Hardy-Sobolev critical elliptic equation with boundary singularities and sublinear perturbation is studied. We obtain a result on the existence of classical solution and the multiplicity of weak solutions by making use of sub-super solutions and variational methods.
Mathematics Subject Classification: Primary: 35j05, 35j25; Secondary: 35B40.

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