Abstract: In this talk, we are concerned with the elliptic equation involving the Sobolev-Hardy type nonlinearities with the singularity on the boundary. As a result, we can show the existence of a positive solution provided that the mean curvature at the singularity is strictly negative, where we put the Sobolev type and the Sobolev-Hardy nonlinearities at the same time to the equation.
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The existence of a positive solution for the elliptic equation involving the singularity on the boundary
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