Infinitely many radial solutions to elliptic problems with critical Sobolev and Hardy terms
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摘要:
Let Ω(U)RN be a ball centered at the origin with radius R>0 and N≥7,2*=2N/N-2.We obtain the existence of infinitely many radial solutions for the Dirichlet problem-△u=μ/|x|2u+|u|2*-2u+λu in Ω,u=0 on (e)Ω for suitable positive numbers μ and λ.Such solutions are characterized by the number of their nodes.