## Yamabe equations on half-spaces.(English)Zbl 0941.35025

The authors consider the Yamabe problem on $$\mathbb{R}^n_+$$ and give a condition for the existence of a minimal positive solution of the form $$u(x)=u(|x'|,x_n)$$.

### MSC:

 35J60 Nonlinear elliptic equations 35B33 Critical exponents in context of PDEs
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