Remarks on a Sobolev-Hardy inequality

Details Remarks on a Sobolev-Hardy inequality Remarks on a Sobolev-Hardy inequality

2002-12-05

arxiv.org/abs/math/0212083v3

Mathematics

Analysis of PDEs

5 pages

Scientific paper

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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