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Remarks on a Sobolev-Hardy inequality

S. Secchi·D. Smets·M. Willem
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Abstract

We compute the optimal constant for a generalized Hardy-Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some optimal functions. This inequality was motivated by a nonlinear elliptic equation arising in astrophysics.

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S. Secchi, D. Smets, M. Willem. 2003-03-18. Remarks on a Sobolev-Hardy inequality. https://arxiv.org/abs/math/0212083

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